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464,720

464,720 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.).

464,720 (four hundred sixty-four thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 37 × 157. Its proper divisors sum to 652,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71750.

Abundant Number Gapful Number Odious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
27,464
Recamán's sequence
a(132,512) = 464,720
Square (n²)
215,964,678,400
Cube (n³)
100,363,105,346,048,000
Divisor count
40
σ(n) — sum of divisors
1,116,744
φ(n) — Euler's totient
179,712
Sum of prime factors
207

Primality

Prime factorization: 2 4 × 5 × 37 × 157

Nearest primes: 464,699 (−21) · 464,741 (+21)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 37 · 40 · 74 · 80 · 148 · 157 · 185 · 296 · 314 · 370 · 592 · 628 · 740 · 785 · 1256 · 1480 · 1570 · 2512 · 2960 · 3140 · 5809 · 6280 · 11618 · 12560 · 23236 · 29045 · 46472 · 58090 · 92944 · 116180 · 232360 (half) · 464720
Aliquot sum (sum of proper divisors): 652,024
Factor pairs (a × b = 464,720)
1 × 464720
2 × 232360
4 × 116180
5 × 92944
8 × 58090
10 × 46472
16 × 29045
20 × 23236
37 × 12560
40 × 11618
74 × 6280
80 × 5809
148 × 3140
157 × 2960
185 × 2512
296 × 1570
314 × 1480
370 × 1256
592 × 785
628 × 740
First multiples
464,720 · 929,440 (double) · 1,394,160 · 1,858,880 · 2,323,600 · 2,788,320 · 3,253,040 · 3,717,760 · 4,182,480 · 4,647,200

Sums & aliquot sequence

As a sum of two squares: 88² + 676² = 136² + 668² = 292² + 616² = 476² + 488²
As consecutive integers: 92,942 + 92,943 + 92,944 + 92,945 + 92,946 14,507 + 14,508 + … + 14,538 12,542 + 12,543 + … + 12,578 2,882 + 2,883 + … + 3,038
Aliquot sequence: 464,720 → 652,024 → 580,976 → 647,368 → 630,632 → 621,628 → 630,028 → 630,084 → 1,182,524 → 1,206,436 → 1,426,460 → 2,153,956 → 2,256,604 → 2,315,684 → 2,350,684 → 2,479,876 → 2,641,660 — unresolved within range

Continued fraction of √n

√464,720 = [681; (1, 2, 2, 1, 1, 1, 30, 2, 1, 4, 21, 11, 4, 1, 1, 7, 1, 1, 18, 1, 2, 20, 1, 26, …)]

Representations

In words
four hundred sixty-four thousand seven hundred twenty
Ordinal
464720th
Binary
1110001011101010000
Octal
1613520
Hexadecimal
0x71750
Base64
BxdQ
One's complement
4,294,502,575 (32-bit)
Scientific notation
4.6472 × 10⁵
As a duration
464,720 s = 5 days, 9 hours, 5 minutes, 20 seconds
In other bases
ternary (3) 212121110212
quaternary (4) 1301131100
quinary (5) 104332340
senary (6) 13543252
septenary (7) 3643604
nonary (9) 777425
undecimal (11) 298173
duodecimal (12) 1a4b28
tridecimal (13) 1336a9
tetradecimal (14) c1504
pentadecimal (15) 92a65

As an angle

464,720° = 1,290 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υξδψκʹ
Chinese
四十六萬四千七百二十
Chinese (financial)
肆拾陸萬肆仟柒佰貳拾
In other modern scripts
Eastern Arabic ٤٦٤٧٢٠ Devanagari ४६४७२० Bengali ৪৬৪৭২০ Tamil ௪௬௪௭௨௦ Thai ๔๖๔๗๒๐ Tibetan ༤༦༤༧༢༠ Khmer ៤៦៤៧២០ Lao ໔໖໔໗໒໐ Burmese ၄၆၄၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464720, here are decompositions:

  • 73 + 464647 = 464720
  • 103 + 464617 = 464720
  • 163 + 464557 = 464720
  • 181 + 464539 = 464720
  • 199 + 464521 = 464720
  • 241 + 464479 = 464720
  • 283 + 464437 = 464720
  • 307 + 464413 = 464720

Showing the first eight; more decompositions exist.

Hex color
#071750
RGB(7, 23, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.23.80.

Address
0.7.23.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.23.80

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 464,720 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 464720 first appears in π at position 390,250 of the decimal expansion (the 390,250ordinal-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°.