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12953934 = 2327219773
BaseRepresentation
bin110001011010…
…100101001110
3220101010110100
4301122211032
511304011214
61141351530
7215051400
oct61324516
926333410
1012953934
117348534
1244085a6
1328b7266
141a12b70
15120d309
hexc5a94e

12953934 has 72 divisors (see below), whose sum is σ = 34412040. Its totient is φ = 3501792.

The previous prime is 12953933. The next prime is 12953947. The reversal of 12953934 is 43935921.

It is a happy number.

12953934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953933) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16372 + ... + 17144.

It is an arithmetic number, because the mean of its divisors is an integer number (477945).

Almost surely, 212953934 is an apocalyptic number.

12953934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12953934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206020).

12953934 is an abundant number, since it is smaller than the sum of its proper divisors (21458106).

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

12953934 is a wasteful number, since it uses less digits than its factorization.

12953934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 804 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 12953934 is about 3599.1574013927. The cubic root of 12953934 is about 234.8554052400.

The spelling of 12953934 in words is "twelve million, nine hundred fifty-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 773 798 882 931 1197 1546 1862 2319 2394 2793 4638 5411 5586 6957 8379 10822 13914 14687 16233 16758 29374 32466 37877 44061 48699 75754 88122 97398 102809 113631 132183 205618 227262 264366 308427 340893 616854 681786 719663 925281 1439326 1850562 2158989 4317978 6476967 12953934