107,880
107,880 is a composite number, even.
107,880 (one hundred seven thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 29 × 31. Its proper divisors sum to 237,720, more than the number itself, making it an abundant number. It is the 464th triangular number. Written other ways, in hexadecimal, 0x1A568.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 88,701
- Square (n²)
- 11,638,094,400
- Cube (n³)
- 1,255,517,623,872,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 345,600
- φ(n) — Euler's totient
- 26,880
- Sum of prime factors
- 74
Primality
Prime factorization: 2 3 × 3 × 5 × 29 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,880 = [328; (2, 4, 1, 1, 2, 5, 27, 5, 2, 1, 1, 4, 2, 656)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand eight hundred eighty
- Ordinal
- 107880th
- Binary
- 11010010101101000
- Octal
- 322550
- Hexadecimal
- 0x1A568
- Base64
- AaVo
- One's complement
- 4,294,859,415 (32-bit)
- Scientific notation
- 1.0788 × 10⁵
- As a duration
- 107,880 s = 1 day, 5 hours, 58 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρζωπʹ
- Mayan (base 20)
- 𝋭·𝋩·𝋮·𝋠
- Chinese
- 十萬七千八百八十
- Chinese (financial)
- 壹拾萬柒仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107880, here are decompositions:
- 7 + 107873 = 107880
- 13 + 107867 = 107880
- 23 + 107857 = 107880
- 37 + 107843 = 107880
- 41 + 107839 = 107880
- 43 + 107837 = 107880
- 53 + 107827 = 107880
- 89 + 107791 = 107880
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.104.
- Address
- 0.1.165.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.165.104
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 107,880 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 107880 first appears in π at position 527,650 of the decimal expansion (the 527,650ordinal-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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.