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13570968 = 2334753227
BaseRepresentation
bin110011110001…
…001110011000
3221112110212110
4303301032120
511433232333
61202512320
7223231335
oct63611630
927473773
1013570968
11772a084
1246656a0
132a72078
141b3398c
1512d1063
hexcf1398

13570968 has 64 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 4324736.

The previous prime is 13570939. The next prime is 13571009. The reversal of 13570968 is 86907531.

13570968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59671 + ... + 59897.

It is an arithmetic number, because the mean of its divisors is an integer number (554040).

Almost surely, 213570968 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 13570968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

13570968 is an abundant number, since it is smaller than the sum of its proper divisors (21887592).

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

13570968 is a wasteful number, since it uses less digits than its factorization.

13570968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 13570968 is about 3683.8794768559. The cubic root of 13570968 is about 238.5266683433.

The spelling of 13570968 in words is "thirteen million, five hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 53 94 106 141 159 188 212 227 282 318 376 424 454 564 636 681 908 1128 1272 1362 1816 2491 2724 4982 5448 7473 9964 10669 12031 14946 19928 21338 24062 29892 32007 36093 42676 48124 59784 64014 72186 85352 96248 128028 144372 256056 288744 565457 1130914 1696371 2261828 3392742 4523656 6785484 13570968