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12096968 = 2313412837
BaseRepresentation
bin101110001001…
…010111001000
3211202120220212
4232021113020
511044100333
61111140252
7204552062
oct56112710
924676825
1012096968
1169126a4
124074688
132677190
14186c732
1510de448
hexb895c8

12096968 has 32 divisors (see below), whose sum is σ = 25031160. Its totient is φ = 5445120.

The previous prime is 12096943. The next prime is 12096991. The reversal of 12096968 is 86969021.

It can be written as a sum of positive squares in 4 ways, for example, as 1844164 + 10252804 = 1358^2 + 3202^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2846 + ... + 5682.

Almost surely, 212096968 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 12096968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12515580).

12096968 is an abundant number, since it is smaller than the sum of its proper divisors (12934192).

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

12096968 is a wasteful number, since it uses less digits than its factorization.

12096968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 12096968 is about 3478.0695795225. The cubic root of 12096968 is about 229.5578651734.

The spelling of 12096968 in words is "twelve million, ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 2837 4264 5674 11348 22696 36881 73762 116317 147524 232634 295048 465268 930536 1512121 3024242 6048484 12096968