120,360
120,360 is a composite number, even.
120,360 (one hundred twenty thousand three hundred sixty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 17 × 59. Its proper divisors sum to 268,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D628.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 63,021
- Square (n²)
- 14,486,529,600
- Cube (n³)
- 1,743,598,702,656,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 388,800
- φ(n) — Euler's totient
- 29,696
- Sum of prime factors
- 90
Primality
Prime factorization: 2 3 × 3 × 5 × 17 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,360 = [346; (1, 13, 6, 5, 1, 1, 3, 11, 3, 1, 1, 5, 6, 13, 1, 692)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand three hundred sixty
- Ordinal
- 120360th
- Binary
- 11101011000101000
- Octal
- 353050
- Hexadecimal
- 0x1D628
- Base64
- AdYo
- One's complement
- 4,294,846,935 (32-bit)
- Scientific notation
- 1.2036 × 10⁵
- As a duration
- 120,360 s = 1 day, 9 hours, 26 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκτξʹ
- Mayan (base 20)
- 𝋯·𝋠·𝋲·𝋠
- Chinese
- 一十二萬零三百六十
- Chinese (financial)
- 壹拾貳萬零參佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120360, here are decompositions:
- 11 + 120349 = 120360
- 29 + 120331 = 120360
- 41 + 120319 = 120360
- 61 + 120299 = 120360
- 67 + 120293 = 120360
- 83 + 120277 = 120360
- 113 + 120247 = 120360
- 127 + 120233 = 120360
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 98 A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.40.
- Address
- 0.1.214.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.214.40
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 120,360 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 120360 first appears in π at position 111,288 of the decimal expansion (the 111,288ordinal-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°.