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461,370

461,370 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.).

461,370 (four hundred sixty-one thousand three hundred seventy) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 5 × 7 × 13³. Its proper divisors sum to 909,510, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70A3A.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
73,164
Square (n²)
212,862,276,900
Cube (n³)
98,208,268,693,353,000
Divisor count
64
σ(n) — sum of divisors
1,370,880
φ(n) — Euler's totient
97,344
Sum of prime factors
56

Primality

Prime factorization: 2 × 3 × 5 × 7 × 13 3

Nearest primes: 461,359 (−11) · 461,381 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 5 · 6 · 7 · 10 · 13 · 14 · 15 · 21 · 26 · 30 · 35 · 39 · 42 · 65 · 70 · 78 · 91 · 105 · 130 · 169 · 182 · 195 · 210 · 273 · 338 · 390 · 455 · 507 · 546 · 845 · 910 · 1014 · 1183 · 1365 · 1690 · 2197 · 2366 · 2535 · 2730 · 3549 · 4394 · 5070 · 5915 · 6591 · 7098 · 10985 · 11830 · 13182 · 15379 · 17745 · 21970 · 30758 · 32955 · 35490 · 46137 · 65910 · 76895 · 92274 · 153790 · 230685 (half) · 461370
Aliquot sum (sum of proper divisors): 909,510
Factor pairs (a × b = 461,370)
1 × 461370
2 × 230685
3 × 153790
5 × 92274
6 × 76895
7 × 65910
10 × 46137
13 × 35490
14 × 32955
15 × 30758
21 × 21970
26 × 17745
30 × 15379
35 × 13182
39 × 11830
42 × 10985
65 × 7098
70 × 6591
78 × 5915
91 × 5070
105 × 4394
130 × 3549
169 × 2730
182 × 2535
195 × 2366
210 × 2197
273 × 1690
338 × 1365
390 × 1183
455 × 1014
507 × 910
546 × 845
First multiples
461,370 · 922,740 (double) · 1,384,110 · 1,845,480 · 2,306,850 · 2,768,220 · 3,229,590 · 3,690,960 · 4,152,330 · 4,613,700

Sums & aliquot sequence

As consecutive integers: 153,789 + 153,790 + 153,791 115,341 + 115,342 + 115,343 + 115,344 92,272 + 92,273 + 92,274 + 92,275 + 92,276 65,907 + 65,908 + … + 65,913
Aliquot sequence: 461,370 → 909,510 → 1,661,754 → 1,674,726 → 1,674,738 → 2,472,678 → 3,297,450 → 6,076,950 → 11,064,810 → 15,995,670 → 22,394,010 → 31,519,590 → 44,689,530 → 64,081,158 → 64,620,282 → 64,620,294 → 77,559,546 — unresolved within range

Continued fraction of √n

√461,370 = [679; (4, 7, 1, 3, 1, 2, 1, 1, 1, 7, 2, 2, 10, 7, 1, 16, 3, 7, 1, 2, 2, 6, 1, 7, …)]

Representations

In words
four hundred sixty-one thousand three hundred seventy
Ordinal
461370th
Binary
1110000101000111010
Octal
1605072
Hexadecimal
0x70A3A
Base64
Bwo6
One's complement
4,294,505,925 (32-bit)
Scientific notation
4.6137 × 10⁵
As a duration
461,370 s = 5 days, 8 hours, 9 minutes, 30 seconds
In other bases
ternary (3) 212102212210
quaternary (4) 1300220322
quinary (5) 104230440
senary (6) 13515550
septenary (7) 3631050
nonary (9) 772783
undecimal (11) 2956a8
duodecimal (12) 1a2bb6
tridecimal (13) 132000
tetradecimal (14) c01d0
pentadecimal (15) 91a80

As an angle

461,370° = 1,281 × 360° + 210°
210° ≈ 3.665 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξατοʹ
Chinese
四十六萬一千三百七十
Chinese (financial)
肆拾陸萬壹仟參佰柒拾
In other modern scripts
Eastern Arabic ٤٦١٣٧٠ Devanagari ४६१३७० Bengali ৪৬১৩৭০ Tamil ௪௬௧௩௭௦ Thai ๔๖๑๓๗๐ Tibetan ༤༦༡༣༧༠ Khmer ៤៦១៣៧០ Lao ໔໖໑໓໗໐ Burmese ၄၆၁၃၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 461370, here are decompositions:

  • 11 + 461359 = 461370
  • 37 + 461333 = 461370
  • 43 + 461327 = 461370
  • 47 + 461323 = 461370
  • 53 + 461317 = 461370
  • 61 + 461309 = 461370
  • 71 + 461299 = 461370
  • 73 + 461297 = 461370

Showing the first eight; more decompositions exist.

Hex color
#070A3A
RGB(7, 10, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.10.58.

Address
0.7.10.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.10.58

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

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 461,370 and was likely granted around 1891.

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°.