1,052,016
1,052,016 is a composite number, even.
1,052,016 (one million fifty-two thousand sixteen) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7 × 31 × 101. Its proper divisors sum to 2,185,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100D70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 21 bits
- Reversed
- 6,102,501
- Square (n²)
- 1,106,737,664,256
- Cube (n³)
- 1,164,305,730,599,940,096
- Divisor count
- 80
- σ(n) — sum of divisors
- 3,237,888
- φ(n) — Euler's totient
- 288,000
- Sum of prime factors
- 150
Primality
Prime factorization: 2 4 × 3 × 7 × 31 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,052,016 = [1025; (1, 2, 9, 4, 1, 4, 3, 11, 1, 4, 1, 3, 4, 3, 21, 16, 1, 9, 1, 2, 5, 81, 1, 6, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one million fifty-two thousand sixteen
- Ordinal
- 1052016th
- Binary
- 100000000110101110000
- Octal
- 4006560
- Hexadecimal
- 0x100D70
- Base64
- EA1w
- One's complement
- 4,293,915,279 (32-bit)
- Scientific notation
- 1.052016 × 10⁶
- As a duration
- 1,052,016 s = 12 days, 4 hours, 13 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Chinese
- 一百零五萬二千零一十六
- Chinese (financial)
- 壹佰零伍萬貳仟零壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052016, here are decompositions:
- 29 + 1051987 = 1052016
- 37 + 1051979 = 1052016
- 59 + 1051957 = 1052016
- 67 + 1051949 = 1052016
- 89 + 1051927 = 1052016
- 103 + 1051913 = 1052016
- 113 + 1051903 = 1052016
- 127 + 1051889 = 1052016
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.112.
- Address
- 0.16.13.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.16.13.112
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 2016 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 2016-05-01 (DMMYYYY (Euro, single-digit day))
- 2016-10-05 (MMDYYYY (US, single-digit day))
- 2016-05-10 (DDMYYYY (Euro, single-digit month))
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,052,016 and was likely granted around 1912.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 1052016 first appears in π at position 154,984 of the decimal expansion (the 154,984ordinal-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°.