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12513696 = 2531337271
BaseRepresentation
bin101111101111…
…000110100000
3212112202120020
4233233012200
511200414241
61124113440
7211236036
oct57570640
925482506
1012513696
1170777a8
124235880
132791a70
14193a556
151172b66
hexbef1a0

12513696 has 96 divisors (see below), whose sum is σ = 36465408. Its totient is φ = 3732480.

The previous prime is 12513689. The next prime is 12513701. The reversal of 12513696 is 69631521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46041 + ... + 46311.

It is an arithmetic number, because the mean of its divisors is an integer number (379848).

Almost surely, 212513696 is an apocalyptic number.

12513696 is a gapful number since it is divisible by the number (16) 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 12513696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232704).

12513696 is an abundant number, since it is smaller than the sum of its proper divisors (23951712).

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

12513696 is a wasteful number, since it uses less digits than its factorization.

12513696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 12513696 is about 3537.4702825607. The cubic root of 12513696 is about 232.1641723432.

The spelling of 12513696 in words is "twelve million, five hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 271 296 312 416 444 481 542 592 624 813 888 962 1084 1184 1248 1443 1626 1776 1924 2168 2886 3252 3523 3552 3848 4336 5772 6504 7046 7696 8672 10027 10569 11544 13008 14092 15392 20054 21138 23088 26016 28184 30081 40108 42276 46176 56368 60162 80216 84552 112736 120324 130351 160432 169104 240648 260702 320864 338208 391053 481296 521404 782106 962592 1042808 1564212 2085616 3128424 4171232 6256848 12513696