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10064952 = 2333172741
BaseRepresentation
bin100110011001…
…010000111000
3200221100112000
4212121100320
510034034302
6555421000
7151356612
oct46312070
920840460
1010064952
115754a47
123454760
1321152c1
14149ddb2
15d3c31c
hex999438

10064952 has 64 divisors (see below), whose sum is σ = 29613600. Its totient is φ = 3156480.

The previous prime is 10064933. The next prime is 10064963. The reversal of 10064952 is 25946001.

10064952 is a `hidden beast` number, since 10 + 0 + 649 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 6.

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, 2302 + ... + 5042.

Almost surely, 210064952 is an apocalyptic number.

10064952 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 10064952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806800).

10064952 is an abundant number, since it is smaller than the sum of its proper divisors (19548648).

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

10064952 is a wasteful number, since it uses less digits than its factorization.

10064952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10064952 is about 3172.5308509138. The cubic root of 10064952 is about 215.9089122107.

The spelling of 10064952 in words is "ten million, sixty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 2741 3672 5482 8223 10964 16446 21928 24669 32892 46597 49338 65784 74007 93194 98676 139791 148014 186388 197352 279582 296028 372776 419373 559164 592056 838746 1118328 1258119 1677492 2516238 3354984 5032476 10064952