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12904542 = 233724877
BaseRepresentation
bin110001001110…
…100001011110
3220021121201000
4301032201132
511300421132
61140331130
7214454400
oct61164136
926247630
1012904542
117314412
1243a3aa6
13289a931
1419dcb70
1511ed87c
hexc4e85e

12904542 has 48 divisors (see below), whose sum is σ = 33365520. Its totient is φ = 3686256.

The previous prime is 12904537. The next prime is 12904603. The reversal of 12904542 is 24540921.

12904542 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208 + ... + 5084.

It is an arithmetic number, because the mean of its divisors is an integer number (695115).

Almost surely, 212904542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12904542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16682760).

12904542 is an abundant number, since it is smaller than the sum of its proper divisors (20460978).

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

12904542 is a wasteful number, since it uses less digits than its factorization.

12904542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12904542 is about 3592.2892422521. The cubic root of 12904542 is about 234.5565320005.

It can be divided in two parts, 1290 and 4542, that added together give a cube (5832 = 183).

The spelling of 12904542 in words is "twelve million, nine hundred four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 4877 9754 14631 29262 34139 43893 68278 87786 102417 131679 204834 238973 263358 307251 477946 614502 716919 921753 1433838 1843506 2150757 4301514 6452271 12904542