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460,672

460,672 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.).

460,672 (four hundred sixty thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 59 × 61. Its proper divisors sum to 487,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70780.

Abundant Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
276,064
Square (n²)
212,218,691,584
Cube (n³)
97,763,209,089,384,448
Divisor count
32
σ(n) — sum of divisors
948,600
φ(n) — Euler's totient
222,720
Sum of prime factors
134

Primality

Prime factorization: 2 7 × 59 × 61

Nearest primes: 460,657 (−15) · 460,673 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 16 · 32 · 59 · 61 · 64 · 118 · 122 · 128 · 236 · 244 · 472 · 488 · 944 · 976 · 1888 · 1952 · 3599 · 3776 · 3904 · 7198 · 7552 · 7808 · 14396 · 28792 · 57584 · 115168 · 230336 (half) · 460672
Aliquot sum (sum of proper divisors): 487,928
Factor pairs (a × b = 460,672)
1 × 460672
2 × 230336
4 × 115168
8 × 57584
16 × 28792
32 × 14396
59 × 7808
61 × 7552
64 × 7198
118 × 3904
122 × 3776
128 × 3599
236 × 1952
244 × 1888
472 × 976
488 × 944
First multiples
460,672 · 921,344 (double) · 1,382,016 · 1,842,688 · 2,303,360 · 2,764,032 · 3,224,704 · 3,685,376 · 4,146,048 · 4,606,720

Sums & aliquot sequence

As consecutive integers: 7,779 + 7,780 + … + 7,837 7,522 + 7,523 + … + 7,582 1,672 + 1,673 + … + 1,927
Aliquot sequence: 460,672 → 487,928 → 557,752 → 611,528 → 535,102 → 267,554 → 207,646 → 110,594 → 72,148 → 61,664 → 65,344 → 64,450 → 55,520 → 76,024 → 90,296 → 79,024 → 88,376 — unresolved within range

Continued fraction of √n

√460,672 = [678; (1, 2, 1, 2, 8, 2, 1, 23, 7, 2, 1, 1, 1, 27, 13, 6, 1, 149, 1, 32, 8, 1, 2, 23, …)]

Representations

In words
four hundred sixty thousand six hundred seventy-two
Ordinal
460672nd
Binary
1110000011110000000
Octal
1603600
Hexadecimal
0x70780
Base64
BweA
One's complement
4,294,506,623 (32-bit)
Scientific notation
4.60672 × 10⁵
As a duration
460,672 s = 5 days, 7 hours, 57 minutes, 52 seconds
In other bases
ternary (3) 212101220221
quaternary (4) 1300132000
quinary (5) 104220142
senary (6) 13512424
septenary (7) 3626032
nonary (9) 771827
undecimal (11) 295123
duodecimal (12) 1a2714
tridecimal (13) 1318b4
tetradecimal (14) bdc52
pentadecimal (15) 91767

As an angle

460,672° = 1,279 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υξχοβʹ
Chinese
四十六萬零六百七十二
Chinese (financial)
肆拾陸萬零陸佰柒拾貳
In other modern scripts
Eastern Arabic ٤٦٠٦٧٢ Devanagari ४६०६७२ Bengali ৪৬০৬৭২ Tamil ௪௬௦௬௭௨ Thai ๔๖๐๖๗๒ Tibetan ༤༦༠༦༧༢ Khmer ៤៦០៦៧២ Lao ໔໖໐໖໗໒ Burmese ၄၆၀၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 460672, here are decompositions:

  • 29 + 460643 = 460672
  • 53 + 460619 = 460672
  • 83 + 460589 = 460672
  • 101 + 460571 = 460672
  • 263 + 460409 = 460672
  • 269 + 460403 = 460672
  • 293 + 460379 = 460672
  • 383 + 460289 = 460672

Showing the first eight; more decompositions exist.

Hex color
#070780
RGB(7, 7, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.7.128.

Address
0.7.7.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.7.128

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 460,672 and was likely granted around 1891.

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

Position in π

The digit sequence 460672 first appears in π at position 234,685 of the decimal expansion (the 234,685ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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