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12924936 = 2332892017
BaseRepresentation
bin110001010011…
…100000001000
3220022122200100
4301103200020
511302044221
61141005400
7214601013
oct61234010
926278610
1012924936
117328772
1243b3860
1328a6cbb
141a0637a
151204926
hexc53808

12924936 has 48 divisors (see below), whose sum is σ = 35415900. Its totient is φ = 4257792.

The previous prime is 12924931. The next prime is 12924971. The reversal of 12924936 is 63942921.

It can be written as a sum of positive squares in 2 ways, for example, as 12916836 + 8100 = 3594^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12924936.

It is not an unprimeable number, because it can be changed into a prime (12924931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5400 + ... + 7416.

Almost surely, 212924936 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 12924936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707950).

12924936 is an abundant number, since it is smaller than the sum of its proper divisors (22490964).

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

12924936 is a wasteful number, since it uses less digits than its factorization.

12924936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2111 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 12924936 is about 3595.1267015225. The cubic root of 12924936 is about 234.6800292982.

The spelling of 12924936 in words is "twelve million, nine hundred twenty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2017 2136 3204 4034 6051 6408 8068 12102 16136 18153 24204 36306 48408 72612 145224 179513 359026 538539 718052 1077078 1436104 1615617 2154156 3231234 4308312 6462468 12924936