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13013976 = 23317167191
BaseRepresentation
bin110001101001…
…001111011000
3220111011211010
4301221033120
511312421401
61142533520
7215421423
oct61511730
926434733
1013013976
117389658
1244372a0
1329086a1
141a2a9ba
151220ed6
hexc693d8

13013976 has 64 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 4037120.

The previous prime is 13013969. The next prime is 13013977. The reversal of 13013976 is 67931031.

13013976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68041 + ... + 68231.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 213013976 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 13013976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

13013976 is an abundant number, since it is smaller than the sum of its proper divisors (21822504).

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

13013976 is a wasteful number, since it uses less digits than its factorization.

13013976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 13013976 is about 3607.4888773217. The cubic root of 13013976 is about 235.2177007827.

The spelling of 13013976 in words is "thirteen million, thirteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 167 191 204 334 382 408 501 573 668 764 1002 1146 1336 1528 2004 2292 2839 3247 4008 4584 5678 6494 8517 9741 11356 12988 17034 19482 22712 25976 31897 34068 38964 63794 68136 77928 95691 127588 191382 255176 382764 542249 765528 1084498 1626747 2168996 3253494 4337992 6506988 13013976