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13023136 = 257471237
BaseRepresentation
bin110001101011…
…011110100000
3220111122101101
4301223132200
511313220021
61143044144
7215460220
oct61533640
926448341
1013023136
117395525
124440654
13290c8c9
141a30080
151223a91
hexc6b7a0

13023136 has 48 divisors (see below), whose sum is σ = 29949696. Its totient is φ = 5458176.

The previous prime is 13023133. The next prime is 13023167. The reversal of 13023136 is 63132031.

13023136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13023133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9910 + ... + 11146.

It is an arithmetic number, because the mean of its divisors is an integer number (623952).

Almost surely, 213023136 is an apocalyptic number.

13023136 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 13023136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14974848).

13023136 is an abundant number, since it is smaller than the sum of its proper divisors (16926560).

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

13023136 is a wasteful number, since it uses less digits than its factorization.

13023136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 13023136 is about 3608.7582351828. The cubic root of 13023136 is about 235.2728745135.

Adding to 13023136 its reverse (63132031), we get a palindrome (76155167).

The spelling of 13023136 in words is "thirteen million, twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1237 1316 1504 2474 2632 4948 5264 8659 9896 10528 17318 19792 34636 39584 58139 69272 116278 138544 232556 277088 406973 465112 813946 930224 1627892 1860448 3255784 6511568 13023136