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12513936 = 243534919
BaseRepresentation
bin101111101111…
…001010010000
3212112202220010
4233233022100
511200421221
61124114520
7211236531
oct57571220
925482803
1012513936
1170779a6
124235a40
132791bc6
14193a688
151172c76
hexbef290

12513936 has 40 divisors (see below), whose sum is σ = 32944320. Its totient is φ = 4091776.

The previous prime is 12513931. The next prime is 12513953. The reversal of 12513936 is 63931521.

It is not an unprimeable number, because it can be changed into a prime (12513931) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 85 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (823608).

Almost surely, 212513936 is an apocalyptic number.

12513936 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 12513936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472160).

12513936 is an abundant number, since it is smaller than the sum of its proper divisors (20430384).

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

12513936 is a wasteful number, since it uses less digits than its factorization.

12513936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4977 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 12513936 is about 3537.5042049445. The cubic root of 12513936 is about 232.1656565581.

The spelling of 12513936 in words is "twelve million, five hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 4919 9838 14757 19676 29514 39352 59028 78704 118056 236112 260707 521414 782121 1042828 1564242 2085656 3128484 4171312 6256968 12513936