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1,052,352

1,052,352 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.).

1,052,352 (one million fifty-two thousand three hundred fifty-two) is an even 7-digit number. It is a composite number with 140 divisors, and factors as 2⁶ × 3⁴ × 7 × 29. Its proper divisors sum to 2,635,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100EC0.

Abundant Number Evil Number Gapful Number Happy 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
2,532,501
Square (n²)
1,107,444,731,904
Cube (n³)
1,165,421,678,508,638,208
Divisor count
140
σ(n) — sum of divisors
3,688,080
φ(n) — Euler's totient
290,304
Sum of prime factors
60

Primality

Prime factorization: 2 6 × 3 4 × 7 × 29

Nearest primes: 1,052,333 (−19) · 1,052,413 (+61)

Divisors & multiples

All divisors (140)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 29 · 32 · 36 · 42 · 48 · 54 · 56 · 58 · 63 · 64 · 72 · 81 · 84 · 87 · 96 · 108 · 112 · 116 · 126 · 144 · 162 · 168 · 174 · 189 · 192 · 203 · 216 · 224 · 232 · 252 · 261 · 288 · 324 · 336 · 348 · 378 · 406 · 432 · 448 · 464 · 504 · 522 · 567 · 576 · 609 · 648 · 672 · 696 · 756 · 783 · 812 · 864 · 928 · 1008 · 1044 · 1134 · 1218 · 1296 · 1344 · 1392 · 1512 · 1566 · 1624 · 1728 · 1827 · 1856 · 2016 · 2088 · 2268 · 2349 · 2436 · 2592 · 2784 · 3024 · 3132 · 3248 · 3654 · 4032 · 4176 · 4536 · 4698 · 4872 · 5184 · 5481 · 5568 · 6048 · 6264 · 6496 · 7308 · 8352 · 9072 · 9396 · 9744 · 10962 · 12096 · 12528 · 12992 · 14616 · 16443 · 16704 · 18144 · 18792 · 19488 · 21924 · 25056 · 29232 · 32886 · 36288 · 37584 · 38976 · 43848 · 50112 · 58464 · 65772 · 75168 · 87696 · 116928 · 131544 · 150336 · 175392 · 263088 · 350784 · 526176 (half) · 1052352
Aliquot sum (sum of proper divisors): 2,635,728
Factor pairs (a × b = 1,052,352)
1 × 1052352
2 × 526176
3 × 350784
4 × 263088
6 × 175392
7 × 150336
8 × 131544
9 × 116928
12 × 87696
14 × 75168
16 × 65772
18 × 58464
21 × 50112
24 × 43848
27 × 38976
28 × 37584
29 × 36288
32 × 32886
36 × 29232
42 × 25056
48 × 21924
54 × 19488
56 × 18792
58 × 18144
63 × 16704
64 × 16443
72 × 14616
81 × 12992
84 × 12528
87 × 12096
96 × 10962
108 × 9744
112 × 9396
116 × 9072
126 × 8352
144 × 7308
162 × 6496
168 × 6264
174 × 6048
189 × 5568
192 × 5481
203 × 5184
216 × 4872
224 × 4698
232 × 4536
252 × 4176
261 × 4032
288 × 3654
324 × 3248
336 × 3132
348 × 3024
378 × 2784
406 × 2592
432 × 2436
448 × 2349
464 × 2268
504 × 2088
522 × 2016
567 × 1856
576 × 1827
609 × 1728
648 × 1624
672 × 1566
696 × 1512
756 × 1392
783 × 1344
812 × 1296
864 × 1218
928 × 1134
1008 × 1044
First multiples
1,052,352 · 2,104,704 (double) · 3,157,056 · 4,209,408 · 5,261,760 · 6,314,112 · 7,366,464 · 8,418,816 · 9,471,168 · 10,523,520

Sums & aliquot sequence

As consecutive integers: 350,783 + 350,784 + 350,785 150,333 + 150,334 + … + 150,339 116,924 + 116,925 + … + 116,932 50,102 + 50,103 + … + 50,122
Aliquot sequence: 1,052,352 2,635,728 4,337,040 9,912,048 15,694,200 37,018,200 79,045,800 165,998,040 376,326,120 753,929,880 1,958,338,920 3,919,591,320 8,909,080,680 17,818,161,720 — keeps growing

Continued fraction of √n

√1,052,352 = [1025; (1, 5, 3, 227, 1, 1, 1, 5, 1, 1, 1, 227, 3, 5, 1, 2050)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one million fifty-two thousand three hundred fifty-two
Ordinal
1052352nd
Binary
100000000111011000000
Octal
4007300
Hexadecimal
0x100EC0
Base64
EA7A
One's complement
4,293,914,943 (32-bit)
Scientific notation
1.052352 × 10⁶
As a duration
1,052,352 s = 12 days, 4 hours, 19 minutes, 12 seconds
In other bases
ternary (3) 1222110120000
quaternary (4) 10000323000
quinary (5) 232133402
senary (6) 34320000
septenary (7) 11642040
nonary (9) 1873500
undecimal (11) 659714
duodecimal (12) 429000
tridecimal (13) 2aacc2
tetradecimal (14) 1d5720
pentadecimal (15) 15bc1c

As an angle

1,052,352° = 2,923 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬二千三百五十二
Chinese (financial)
壹佰零伍萬貳仟參佰伍拾貳
In other modern scripts
Eastern Arabic ١٠٥٢٣٥٢ Devanagari १०५२३५२ Bengali ১০৫২৩৫২ Tamil ௧௦௫௨௩௫௨ Thai ๑๐๕๒๓๕๒ Tibetan ༡༠༥༢༣༥༢ Khmer ១០៥២៣៥២ Lao ໑໐໕໒໓໕໒ Burmese ၁၀၅၂၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052352, here are decompositions:

  • 19 + 1052333 = 1052352
  • 23 + 1052329 = 1052352
  • 31 + 1052321 = 1052352
  • 43 + 1052309 = 1052352
  • 53 + 1052299 = 1052352
  • 71 + 1052281 = 1052352
  • 73 + 1052279 = 1052352
  • 83 + 1052269 = 1052352

Showing the first eight; more decompositions exist.

Hex color
#100EC0
RGB(16, 14, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.14.192.

Address
0.16.14.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.14.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 2352 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2352-05-01 (DMMYYYY (Euro, single-digit day))
  • 2352-10-05 (MMDYYYY (US, single-digit day))
  • 2352-05-10 (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 1,052,352 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°.