Base | Representation |
---|---|
bin | 101110110101… |
… | …000000000000 |
3 | 212002200010000 |
4 | 232311000000 |
5 | 11120310322 |
6 | 1115040000 |
7 | 206225151 |
oct | 56650000 |
9 | 25080100 |
10 | 12275712 |
11 | 6a24a19 |
12 | 4140000 |
13 | 270a647 |
14 | 18b7928 |
15 | 11273ac |
hex | bb5000 |
12275712 has 130 divisors (see below), whose sum is σ = 37662218. Its totient is φ = 3981312.
The previous prime is 12275707. The next prime is 12275719. The reversal of 12275712 is 21757221.
It can be written as a sum of positive squares in only one way, i.e., 11943936 + 331776 = 3456^2 + 576^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12275719) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331758 + ... + 331794.
Almost surely, 212275712 is an apocalyptic number.
12275712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831109).
12275712 is an abundant number, since it is smaller than the sum of its proper divisors (25386506).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12275712 is an frugal number, since it uses more digits than its factorization.
12275712 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 73 (or 42 counting only the distinct ones).
The product of its digits is 1960, while the sum is 27.
The square root of 12275712 is about 3503.6712174518. The cubic root of 12275712 is about 230.6829856179.
The spelling of 12275712 in words is "twelve million, two hundred seventy-five thousand, seven hundred twelve".
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