115,440
115,440 is a composite number, even.
115,440 (one hundred fifteen thousand four hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 13 × 37. Its proper divisors sum to 280,368, more than the number itself, making it an abundant number. It is the 480th triangular number. Written other ways, in hexadecimal, 0x1C2F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 44,511
- Recamán's sequence
- a(72,287) = 115,440
- Square (n²)
- 13,326,393,600
- Cube (n³)
- 1,538,398,877,184,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 395,808
- φ(n) — Euler's totient
- 27,648
- Sum of prime factors
- 66
Primality
Prime factorization: 2 4 × 3 × 5 × 13 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√115,440 = [339; (1, 3, 4, 42, 4, 3, 1, 678)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fifteen thousand four hundred forty
- Ordinal
- 115440th
- Binary
- 11100001011110000
- Octal
- 341360
- Hexadecimal
- 0x1C2F0
- Base64
- AcLw
- One's complement
- 4,294,851,855 (32-bit)
- Scientific notation
- 1.1544 × 10⁵
- As a duration
- 115,440 s = 1 day, 8 hours, 4 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριευμʹ
- Mayan (base 20)
- 𝋮·𝋨·𝋬·𝋠
- Chinese
- 一十一萬五千四百四十
- Chinese (financial)
- 壹拾壹萬伍仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115440, here are decompositions:
- 11 + 115429 = 115440
- 19 + 115421 = 115440
- 41 + 115399 = 115440
- 79 + 115361 = 115440
- 97 + 115343 = 115440
- 103 + 115337 = 115440
- 109 + 115331 = 115440
- 113 + 115327 = 115440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.194.240.
- Address
- 0.1.194.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.194.240
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 115,440 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 115440 first appears in π at position 196,501 of the decimal expansion (the 196,501ordinal-suffix:st 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°.