Live analysis

480,720

480,720 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.).

480,720 (four hundred eighty thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 2,003. Its proper divisors sum to 1,010,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x755D0.

Abundant Number Evil Number Gapful Number Happy Number Refactorable Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

480,708 480,709 480,710 480,711 480,712 480,713 480,714 480,715 480,716 480,717 480,718 480,719 480,720 480,721 480,722 480,723 480,724 480,725 480,726 480,727 480,728 480,729 480,730 480,731 480,732

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 27,084
Square (n²): 231,091,718,400
Cube (n³): 111,090,410,869,248,000
Divisor count: 40
σ(n) — sum of divisors: 1,490,976
φ(n) — Euler's totient: 128,128
Sum of prime factors: 2,019

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 2003

Nearest primes: 480,713 (−7) · 480,731 (+11)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 2003 · 4006 · 6009 · 8012 · 10015 · 12018 · 16024 · 20030 · 24036 · 30045 · 32048 · 40060 · 48072 · 60090 · 80120 · 96144 · 120180 · 160240 · 240360 (half) · 480720

Aliquot sum (sum of proper divisors): 1,010,256

Factor pairs (a × b = 480,720)

1 × 480720

2 × 240360

3 × 160240

4 × 120180

5 × 96144

6 × 80120

8 × 60090

10 × 48072

12 × 40060

15 × 32048

16 × 30045

20 × 24036

24 × 20030

30 × 16024

40 × 12018

48 × 10015

60 × 8012

80 × 6009

120 × 4006

240 × 2003

First multiples

480,720 · 961,440 (double) · 1,442,160 · 1,922,880 · 2,403,600 · 2,884,320 · 3,365,040 · 3,845,760 · 4,326,480 · 4,807,200

Sums & aliquot sequence

As consecutive integers: 160,239 + 160,240 + 160,241 96,142 + 96,143 + 96,144 + 96,145 + 96,146 32,041 + 32,042 + … + 32,055 15,007 + 15,008 + … + 15,038

Aliquot sequence: 480,720 → 1,010,256 → 1,802,064 → 3,277,968 → 5,376,240 → 14,265,360 → 33,644,892 → 44,859,884 → 33,899,524 → 26,139,980 → 28,866,580 → 33,710,060 → 37,081,108 → 28,170,624 → 46,658,616 → 73,696,584 → 124,718,136 — unresolved within range

Continued fraction of √n

√480,720 = [693; (2, 1, 16, 1, 2, 1386)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: four hundred eighty thousand seven hundred twenty
Ordinal: 480720th
Binary: 1110101010111010000
Octal: 1652720
Hexadecimal: 0x755D0
Base64: B1XQ
One's complement: 4,294,486,575 (32-bit)
Scientific notation: 4.8072 × 10⁵
As a duration: 480,720 s = 5 days, 13 hours, 32 minutes

In other bases

ternary (3) 220102102110

quaternary (4) 1311113100

quinary (5) 110340340

senary (6) 14145320

septenary (7) 4041342

nonary (9) 812373

undecimal (11) 2a9199

duodecimal (12) 1b2240

tridecimal (13) 13aa66

tetradecimal (14) c7292

pentadecimal (15) 97680

As an angle

480,720° = 1,335 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υπψκʹ
Chinese: 四十八萬零七百二十
Chinese (financial): 肆拾捌萬零柒佰貳拾

In other modern scripts

Eastern Arabic ٤٨٠٧٢٠ Devanagari ४८०७२० Bengali ৪৮০৭২০ Tamil ௪௮௦௭௨௦ Thai ๔๘๐๗๒๐ Tibetan ༤༨༠༧༢༠ Khmer ៤៨០៧២០ Lao ໔໘໐໗໒໐ Burmese ၄၈၀၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 480720, here are decompositions:

7 + 480713 = 480720
13 + 480707 = 480720
59 + 480661 = 480720
73 + 480647 = 480720
137 + 480583 = 480720
151 + 480569 = 480720
157 + 480563 = 480720
167 + 480553 = 480720

Showing the first eight; more decompositions exist.

Hex color

#0755D0

RGB(7, 85, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.85.208.

Address: 0.7.85.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.85.208

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 480,720 and was likely granted around 1892.

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

Look up US480,720 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 480720 first appears in π at position 881,955 of the decimal expansion (the 881,955ordinal-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.

Look up 480720 on Pi Search ↗