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15970968 = 233213113151
BaseRepresentation
bin111100111011…
…001010011000
31010001102001100
4330323022120
513042032333
61330151400
7252515406
oct74731230
933042040
1015970968
119019252
125422560
1334025a0
14219a476
151607213
hexf3b298

15970968 has 96 divisors (see below), whose sum is σ = 47305440. Its totient is φ = 4838400.

The previous prime is 15970951. The next prime is 15970979. The reversal of 15970968 is 86907951.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 105693 + ... + 105843.

It is an arithmetic number, because the mean of its divisors is an integer number (492765).

Almost surely, 215970968 is an apocalyptic number.

15970968 is a gapful number since it is divisible by the number (18) 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 15970968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23652720).

15970968 is an abundant number, since it is smaller than the sum of its proper divisors (31334472).

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

15970968 is a wasteful number, since it uses less digits than its factorization.

15970968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 15970968 is about 3996.3693522997. The cubic root of 15970968 is about 251.8317092546.

The spelling of 15970968 in words is "fifteen million, nine hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 113 117 151 156 226 234 302 312 339 452 453 468 604 678 904 906 936 1017 1208 1356 1359 1469 1812 1963 2034 2712 2718 2938 3624 3926 4068 4407 5436 5876 5889 7852 8136 8814 10872 11752 11778 13221 15704 17063 17628 17667 23556 26442 34126 35256 35334 47112 51189 52884 68252 70668 102378 105768 136504 141336 153567 204756 221819 307134 409512 443638 614268 665457 887276 1228536 1330914 1774552 1996371 2661828 3992742 5323656 7985484 15970968