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1,061,424

1,061,424 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,061,424 (one million sixty-one thousand four hundred twenty-four) is an even 7-digit number. It is a composite number with 140 divisors, and factors as 2⁴ × 3⁶ × 7 × 13. Its proper divisors sum to 2,733,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103230.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
4,241,601
Square (n²)
1,126,620,907,776
Cube (n³)
1,195,822,470,415,233,024
Divisor count
140
σ(n) — sum of divisors
3,794,896
φ(n) — Euler's totient
279,936
Sum of prime factors
46

Primality

Prime factorization: 2 4 × 3 6 × 7 × 13

Nearest primes: 1,061,413 (−11) · 1,061,441 (+17)

Divisors & multiples

All divisors (140)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 16 · 18 · 21 · 24 · 26 · 27 · 28 · 36 · 39 · 42 · 48 · 52 · 54 · 56 · 63 · 72 · 78 · 81 · 84 · 91 · 104 · 108 · 112 · 117 · 126 · 144 · 156 · 162 · 168 · 182 · 189 · 208 · 216 · 234 · 243 · 252 · 273 · 312 · 324 · 336 · 351 · 364 · 378 · 432 · 468 · 486 · 504 · 546 · 567 · 624 · 648 · 702 · 728 · 729 · 756 · 819 · 936 · 972 · 1008 · 1053 · 1092 · 1134 · 1296 · 1404 · 1456 · 1458 · 1512 · 1638 · 1701 · 1872 · 1944 · 2106 · 2184 · 2268 · 2457 · 2808 · 2916 · 3024 · 3159 · 3276 · 3402 · 3888 · 4212 · 4368 · 4536 · 4914 · 5103 · 5616 · 5832 · 6318 · 6552 · 6804 · 7371 · 8424 · 9072 · 9477 · 9828 · 10206 · 11664 · 12636 · 13104 · 13608 · 14742 · 16848 · 18954 · 19656 · 20412 · 22113 · 25272 · 27216 · 29484 · 37908 · 39312 · 40824 · 44226 · 50544 · 58968 · 66339 · 75816 · 81648 · 88452 · 117936 · 132678 · 151632 · 176904 · 265356 · 353808 · 530712 (half) · 1061424
Aliquot sum (sum of proper divisors): 2,733,472
Factor pairs (a × b = 1,061,424)
1 × 1061424
2 × 530712
3 × 353808
4 × 265356
6 × 176904
7 × 151632
8 × 132678
9 × 117936
12 × 88452
13 × 81648
14 × 75816
16 × 66339
18 × 58968
21 × 50544
24 × 44226
26 × 40824
27 × 39312
28 × 37908
36 × 29484
39 × 27216
42 × 25272
48 × 22113
52 × 20412
54 × 19656
56 × 18954
63 × 16848
72 × 14742
78 × 13608
81 × 13104
84 × 12636
91 × 11664
104 × 10206
108 × 9828
112 × 9477
117 × 9072
126 × 8424
144 × 7371
156 × 6804
162 × 6552
168 × 6318
182 × 5832
189 × 5616
208 × 5103
216 × 4914
234 × 4536
243 × 4368
252 × 4212
273 × 3888
312 × 3402
324 × 3276
336 × 3159
351 × 3024
364 × 2916
378 × 2808
432 × 2457
468 × 2268
486 × 2184
504 × 2106
546 × 1944
567 × 1872
624 × 1701
648 × 1638
702 × 1512
728 × 1458
729 × 1456
756 × 1404
819 × 1296
936 × 1134
972 × 1092
1008 × 1053
First multiples
1,061,424 · 2,122,848 (double) · 3,184,272 · 4,245,696 · 5,307,120 · 6,368,544 · 7,429,968 · 8,491,392 · 9,552,816 · 10,614,240

Sums & aliquot sequence

As a sum of two cubes: 6³ + 102³ = 45³ + 99³ — a taxicab number
As consecutive integers: 353,807 + 353,808 + 353,809 151,629 + 151,630 + … + 151,635 117,932 + 117,933 + … + 117,940 81,642 + 81,643 + … + 81,654
Aliquot sequence: 1,061,424 → 2,733,472 → 3,417,344 → 4,382,560 → 8,889,776 → 14,010,544 → 13,134,916 → 10,128,716 → 9,145,924 → 6,859,450 → 7,186,526 → 3,611,098 → 1,805,552 → 2,362,336 → 2,288,576 → 2,252,944 → 2,342,496 — unresolved within range

Continued fraction of √n

√1,061,424 = [1030; (3, 1, 13, 1, 1, 1, 14, 16, 1, 24, 2, 81, 1, 13, 3, 8, 1, 4, 1, 24, 1, 1, 1, 1, …)]

Representations

In words
one million sixty-one thousand four hundred twenty-four
Ordinal
1061424th
Binary
100000011001000110000
Octal
4031060
Hexadecimal
0x103230
Base64
EDIw
One's complement
4,293,905,871 (32-bit)
Scientific notation
1.061424 × 10⁶
As a duration
1,061,424 s = 12 days, 6 hours, 50 minutes, 24 seconds
In other bases
ternary (3) 1222221000000
quaternary (4) 10003020300
quinary (5) 232431144
senary (6) 34430000
septenary (7) 12010350
nonary (9) 1887000
undecimal (11) 665511
duodecimal (12) 432300
tridecimal (13) 2b2180
tetradecimal (14) 1d8b60
pentadecimal (15) 15e769

As an angle

1,061,424° = 2,948 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零六萬一千四百二十四
Chinese (financial)
壹佰零陸萬壹仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٦١٤٢٤ Devanagari १०६१४२४ Bengali ১০৬১৪২৪ Tamil ௧௦௬௧௪௨௪ Thai ๑๐๖๑๔๒๔ Tibetan ༡༠༦༡༤༢༤ Khmer ១០៦១៤២៤ Lao ໑໐໖໑໔໒໔ Burmese ၁၀၆၁၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1061424, here are decompositions:

  • 11 + 1061413 = 1061424
  • 17 + 1061407 = 1061424
  • 31 + 1061393 = 1061424
  • 47 + 1061377 = 1061424
  • 61 + 1061363 = 1061424
  • 71 + 1061353 = 1061424
  • 101 + 1061323 = 1061424
  • 107 + 1061317 = 1061424

Showing the first eight; more decompositions exist.

Hex color
#103230
RGB(16, 50, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.50.48.

Address
0.16.50.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.50.48

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 6, 1424 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1424-06-01 (DMMYYYY (Euro, single-digit day))
  • 1424-10-06 (MMDYYYY (US, single-digit day))
  • 1424-06-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,061,424 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.