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12909864 = 2331179619
BaseRepresentation
bin110001001111…
…110100101000
3220021220000010
4301033310220
511301103424
61140411520
7214506042
oct61176450
926256003
1012909864
117318410
1243a6ba0
1328a0196
141a00a92
151200229
hexc4fd28

12909864 has 64 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 3856320.

The previous prime is 12909839. The next prime is 12909887. The reversal of 12909864 is 46890921.

12909864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 20547 + ... + 21165.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 212909864 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 12909864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

12909864 is an abundant number, since it is smaller than the sum of its proper divisors (22802136).

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

12909864 is a wasteful number, since it uses less digits than its factorization.

12909864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 12909864 is about 3593.0299191629. The cubic root of 12909864 is about 234.5887722845.

The spelling of 12909864 in words is "twelve million, nine hundred nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 619 632 869 948 1238 1738 1857 1896 2476 2607 3476 3714 4952 5214 6809 6952 7428 10428 13618 14856 20427 20856 27236 40854 48901 54472 81708 97802 146703 163416 195604 293406 391208 537911 586812 1075822 1173624 1613733 2151644 3227466 4303288 6454932 12909864