number.wiki
Live analysis

1,024,920

1,024,920 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.).

1,024,920 (one million twenty-four thousand nine hundred twenty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 5 × 13 × 73. Its proper divisors sum to 2,704,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA398.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
294,201
Square (n²)
1,050,461,006,400
Cube (n³)
1,076,638,494,679,488,000
Divisor count
128
σ(n) — sum of divisors
3,729,600
φ(n) — Euler's totient
248,832
Sum of prime factors
106

Primality

Prime factorization: 2 3 × 3 3 × 5 × 13 × 73

Nearest primes: 1,024,909 (−11) · 1,024,921 (+1)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 24 · 26 · 27 · 30 · 36 · 39 · 40 · 45 · 52 · 54 · 60 · 65 · 72 · 73 · 78 · 90 · 104 · 108 · 117 · 120 · 130 · 135 · 146 · 156 · 180 · 195 · 216 · 219 · 234 · 260 · 270 · 292 · 312 · 351 · 360 · 365 · 390 · 438 · 468 · 520 · 540 · 584 · 585 · 657 · 702 · 730 · 780 · 876 · 936 · 949 · 1080 · 1095 · 1170 · 1314 · 1404 · 1460 · 1560 · 1752 · 1755 · 1898 · 1971 · 2190 · 2340 · 2628 · 2808 · 2847 · 2920 · 3285 · 3510 · 3796 · 3942 · 4380 · 4680 · 4745 · 5256 · 5694 · 6570 · 7020 · 7592 · 7884 · 8541 · 8760 · 9490 · 9855 · 11388 · 13140 · 14040 · 14235 · 15768 · 17082 · 18980 · 19710 · 22776 · 25623 · 26280 · 28470 · 34164 · 37960 · 39420 · 42705 · 51246 · 56940 · 68328 · 78840 · 85410 · 102492 · 113880 · 128115 · 170820 · 204984 · 256230 · 341640 · 512460 (half) · 1024920
Aliquot sum (sum of proper divisors): 2,704,680
Factor pairs (a × b = 1,024,920)
1 × 1024920
2 × 512460
3 × 341640
4 × 256230
5 × 204984
6 × 170820
8 × 128115
9 × 113880
10 × 102492
12 × 85410
13 × 78840
15 × 68328
18 × 56940
20 × 51246
24 × 42705
26 × 39420
27 × 37960
30 × 34164
36 × 28470
39 × 26280
40 × 25623
45 × 22776
52 × 19710
54 × 18980
60 × 17082
65 × 15768
72 × 14235
73 × 14040
78 × 13140
90 × 11388
104 × 9855
108 × 9490
117 × 8760
120 × 8541
130 × 7884
135 × 7592
146 × 7020
156 × 6570
180 × 5694
195 × 5256
216 × 4745
219 × 4680
234 × 4380
260 × 3942
270 × 3796
292 × 3510
312 × 3285
351 × 2920
360 × 2847
365 × 2808
390 × 2628
438 × 2340
468 × 2190
520 × 1971
540 × 1898
584 × 1755
585 × 1752
657 × 1560
702 × 1460
730 × 1404
780 × 1314
876 × 1170
936 × 1095
949 × 1080
First multiples
1,024,920 · 2,049,840 (double) · 3,074,760 · 4,099,680 · 5,124,600 · 6,149,520 · 7,174,440 · 8,199,360 · 9,224,280 · 10,249,200

Sums & aliquot sequence

As consecutive integers: 341,639 + 341,640 + 341,641 204,982 + 204,983 + 204,984 + 204,985 + 204,986 113,876 + 113,877 + … + 113,884 78,834 + 78,835 + … + 78,846
Aliquot sequence: 1,024,920 2,704,680 6,898,680 15,523,200 54,768,060 118,597,860 242,056,980 558,938,124 972,415,476 1,591,130,124 2,569,586,436 4,092,304,604 3,069,228,460 3,816,701,780 4,281,585,340 4,756,339,220 6,115,400,428 — unresolved within range

Continued fraction of √n

√1,024,920 = [1012; (2, 1, 1, 1, 1, 3, 1, 40, 1, 1, 6, 224, 1, 4, 1, 1, 3, 4, 3, 4, 3, 1, 1, 4, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one million twenty-four thousand nine hundred twenty
Ordinal
1024920th
Binary
11111010001110011000
Octal
3721630
Hexadecimal
0xFA398
Base64
D6OY
One's complement
4,293,942,375 (32-bit)
Scientific notation
1.02492 × 10⁶
As a duration
1,024,920 s = 11 days, 20 hours, 42 minutes
In other bases
ternary (3) 1221001221000
quaternary (4) 3322032120
quinary (5) 230244140
senary (6) 33545000
septenary (7) 11466051
nonary (9) 1831830
undecimal (11) 640046
duodecimal (12) 415160
tridecimal (13) 29b680
tetradecimal (14) 1c9728
pentadecimal (15) 153a30
Palindromic in base 11

As an angle

1,024,920° = 2,847 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零二萬四千九百二十
Chinese (financial)
壹佰零貳萬肆仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٠٢٤٩٢٠ Devanagari १०२४९२० Bengali ১০২৪৯২০ Tamil ௧௦௨௪௯௨௦ Thai ๑๐๒๔๙๒๐ Tibetan ༡༠༢༤༩༢༠ Khmer ១០២៤៩២០ Lao ໑໐໒໔໙໒໐ Burmese ၁၀၂၄၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024920, here are decompositions:

  • 11 + 1024909 = 1024920
  • 19 + 1024901 = 1024920
  • 37 + 1024883 = 1024920
  • 67 + 1024853 = 1024920
  • 97 + 1024823 = 1024920
  • 137 + 1024783 = 1024920
  • 163 + 1024757 = 1024920
  • 191 + 1024729 = 1024920

Showing the first eight; more decompositions exist.

Hex color
#0FA398
RGB(15, 163, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.163.152.

Address
0.15.163.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.163.152

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 4920 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4920-02-01 (DMMYYYY (Euro, single-digit day))
  • 4920-10-02 (MMDYYYY (US, single-digit day))
  • 4920-02-10 (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 1,024,920 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°.