120,456
120,456 is a composite number, even.
120,456 (one hundred twenty thousand four hundred fifty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 7 × 239. Its proper divisors sum to 253,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D688.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 654,021
- Square (n²)
- 14,509,647,936
- Cube (n³)
- 1,747,774,151,778,816
- Divisor count
- 48
- σ(n) — sum of divisors
- 374,400
- φ(n) — Euler's totient
- 34,272
- Sum of prime factors
- 258
Primality
Prime factorization: 2 3 × 3 2 × 7 × 239
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,456 = [347; (14, 1, 3, 3, 2, 1, 11, 1, 2, 3, 3, 1, 14, 694)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand four hundred fifty-six
- Ordinal
- 120456th
- Binary
- 11101011010001000
- Octal
- 353210
- Hexadecimal
- 0x1D688
- Base64
- AdaI
- One's complement
- 4,294,846,839 (32-bit)
- Scientific notation
- 1.20456 × 10⁵
- As a duration
- 120,456 s = 1 day, 9 hours, 27 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκυνϛʹ
- Mayan (base 20)
- 𝋯·𝋡·𝋢·𝋰
- Chinese
- 一十二萬零四百五十六
- Chinese (financial)
- 壹拾貳萬零肆佰伍拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120456, here are decompositions:
- 29 + 120427 = 120456
- 43 + 120413 = 120456
- 59 + 120397 = 120456
- 73 + 120383 = 120456
- 107 + 120349 = 120456
- 137 + 120319 = 120456
- 157 + 120299 = 120456
- 163 + 120293 = 120456
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 9A 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.136.
- Address
- 0.1.214.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.214.136
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 120,456 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 120456 first appears in π at position 482,510 of the decimal expansion (the 482,510ordinal-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°.