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12899664 = 2432293089
BaseRepresentation
bin110001001101…
…010101010000
3220021101000100
4301031111100
511300242124
61140252400
7214434231
oct61152520
926241010
1012899664
117310788
1243a1100
13289864b
1419db088
1511ec1c9
hexc4d550

12899664 has 60 divisors (see below), whose sum is σ = 37358100. Its totient is φ = 4150272.

The previous prime is 12899659. The next prime is 12899671. The reversal of 12899664 is 46699821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 3240000 = 3108^2 + 1800^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2632 + ... + 5720.

It is an arithmetic number, because the mean of its divisors is an integer number (622635).

Almost surely, 212899664 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 12899664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18679050).

12899664 is an abundant number, since it is smaller than the sum of its proper divisors (24458436).

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

12899664 is a wasteful number, since it uses less digits than its factorization.

12899664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3123 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 12899664 is about 3591.6102238411. The cubic root of 12899664 is about 234.5269736491.

The spelling of 12899664 in words is "twelve million, eight hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 3089 4176 6178 9267 12356 18534 24712 27801 37068 49424 55602 74136 89581 111204 148272 179162 222408 268743 358324 444816 537486 716648 806229 1074972 1433296 1612458 2149944 3224916 4299888 6449832 12899664