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13000936 = 2313413049
BaseRepresentation
bin110001100110…
…000011101000
3220110111221011
4301212003220
511312012221
61142353304
7215335414
oct61460350
926414834
1013000936
11737a883
12442b834
132902780
141a25d44
15121c1e1
hexc660e8

13000936 has 32 divisors (see below), whose sum is σ = 26901000. Its totient is φ = 5852160.

The previous prime is 13000919. The next prime is 13000943. The reversal of 13000936 is 63900031.

It can be written as a sum of positive squares in 4 ways, for example, as 2722500 + 10278436 = 1650^2 + 3206^2 .

It is a super-4 number, since 4×130009364 (a number of 30 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2740 + ... + 5788.

Almost surely, 213000936 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 13000936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450500).

13000936 is an abundant number, since it is smaller than the sum of its proper divisors (13900064).

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

13000936 is a wasteful number, since it uses less digits than its factorization.

13000936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 13000936 is about 3605.6810729736. The cubic root of 13000936 is about 235.1391118399.

Adding to 13000936 its reverse (63900031), we get a palindrome (76900967).

The spelling of 13000936 in words is "thirteen million, nine hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 3049 4264 6098 12196 24392 39637 79274 125009 158548 250018 317096 500036 1000072 1625117 3250234 6500468 13000936