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12974136 = 2337292663
BaseRepresentation
bin110001011111…
…100000111000
3220102011011120
4301133200320
511310133021
61142025240
7215164320
oct61374070
926364146
1012974136
11736172a
124418220
1328c3506
141a1a280
1512142c6
hexc5f838

12974136 has 64 divisors (see below), whose sum is σ = 38361600. Its totient is φ = 3577728.

The previous prime is 12974119. The next prime is 12974147. The reversal of 12974136 is 63147921.

12974136 = T21 + T22 + ... + T426.

12974136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12974097 and 12974106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3541 + ... + 6203.

It is an arithmetic number, because the mean of its divisors is an integer number (599400).

Almost surely, 212974136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12974136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19180800).

12974136 is an abundant number, since it is smaller than the sum of its proper divisors (25387464).

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

12974136 is a wasteful number, since it uses less digits than its factorization.

12974136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2704 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 12974136 is about 3601.9627982532. The cubic root of 12974136 is about 234.9774295510.

The spelling of 12974136 in words is "twelve million, nine hundred seventy-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 2663 4872 5326 7989 10652 15978 18641 21304 31956 37282 55923 63912 74564 77227 111846 149128 154454 223692 231681 308908 447384 463362 540589 617816 926724 1081178 1621767 1853448 2162356 3243534 4324712 6487068 12974136