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12575136 = 253718713
BaseRepresentation
bin101111111110…
…000110100000
3212122212211210
4233332012200
511204401021
61125310120
7211613130
oct57760640
925585753
1012575136
117109982
124265340
1327b3a12
141954ac0
151185e76
hexbfe1a0

12575136 has 48 divisors (see below), whose sum is σ = 37727424. Its totient is φ = 3592704.

The previous prime is 12575117. The next prime is 12575137. The reversal of 12575136 is 63157521.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12575137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8685 + ... + 10028.

It is an arithmetic number, because the mean of its divisors is an integer number (785988).

Almost surely, 212575136 is an apocalyptic number.

12575136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12575136 is an abundant number, since it is smaller than the sum of its proper divisors (25152288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12575136 is a wasteful number, since it uses less digits than its factorization.

12575136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18733 (or 18725 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 12575136 is about 3546.1438211105. The cubic root of 12575136 is about 232.5435136501.

The spelling of 12575136 in words is "twelve million, five hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18713 37426 56139 74852 112278 130991 149704 224556 261982 299408 392973 449112 523964 598816 785946 898224 1047928 1571892 1796448 2095856 3143784 4191712 6287568 12575136