165,440
165,440 is a composite number, even.
165,440 (one hundred sixty-five thousand four hundred forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 11 × 47. Its proper divisors sum to 273,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28640.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 44,561
- Square (n²)
- 27,370,393,600
- Cube (n³)
- 4,528,157,917,184,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 438,912
- φ(n) — Euler's totient
- 58,880
- Sum of prime factors
- 75
Primality
Prime factorization: 2 6 × 5 × 11 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√165,440 = [406; (1, 2, 1, 8, 2, 1, 1, 3, 1, 1, 4, 16, 2, 1, 1, 1, 1, 2, 5, 203, 5, 2, 1, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-five thousand four hundred forty
- Ordinal
- 165440th
- Binary
- 101000011001000000
- Octal
- 503100
- Hexadecimal
- 0x28640
- Base64
- AoZA
- One's complement
- 4,294,801,855 (32-bit)
- Scientific notation
- 1.6544 × 10⁵
- As a duration
- 165,440 s = 1 day, 21 hours, 57 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρξευμʹ
- Chinese
- 一十六萬五千四百四十
- Chinese (financial)
- 壹拾陸萬伍仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165440, here are decompositions:
- 3 + 165437 = 165440
- 43 + 165397 = 165440
- 61 + 165379 = 165440
- 73 + 165367 = 165440
- 97 + 165343 = 165440
- 109 + 165331 = 165440
- 127 + 165313 = 165440
- 193 + 165247 = 165440
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 99 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.134.64.
- Address
- 0.2.134.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.134.64
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 165,440 and was likely granted around 1874.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 165440 first appears in π at position 536,565 of the decimal expansion (the 536,565ordinal-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°.