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13147968 = 26331472
BaseRepresentation
bin110010001001…
…111101000000
3220201222121210
4302021331000
511331213333
61145450120
7216520161
oct62117500
926658553
1013147968
117470299
1244a0940
132954682
141a63768
15124aa63
hexc89f40

13147968 has 84 divisors (see below), whose sum is σ = 36689792. Its totient is φ = 4151040.

The previous prime is 13147949. The next prime is 13147997. The reversal of 13147968 is 86974131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279721 + ... + 279767.

Almost surely, 213147968 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 13147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18344896).

13147968 is an abundant number, since it is smaller than the sum of its proper divisors (23541824).

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

13147968 is an equidigital number, since it uses as much as digits as its factorization.

13147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 83 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 13147968 is about 3626.0126861334. The cubic root of 13147968 is about 236.0222137474.

The spelling of 13147968 in words is "thirteen million, one hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 141 186 188 192 248 282 372 376 496 564 744 752 992 1128 1457 1488 1504 1984 2209 2256 2914 2976 3008 4371 4418 4512 5828 5952 6627 8742 8836 9024 11656 13254 17484 17672 23312 26508 34968 35344 46624 53016 68479 69936 70688 93248 106032 136958 139872 141376 205437 212064 273916 279744 410874 424128 547832 821748 1095664 1643496 2191328 3286992 4382656 6573984 13147968