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12692016 = 2432531663
BaseRepresentation
bin110000011010…
…101000110000
3212212211011200
4300122220300
511222121031
61132011200
7212610651
oct60325060
925784150
1012692016
117189777
124300b00
132824c8c
141985528
1511aa8e6
hexc1aa30

12692016 has 60 divisors (see below), whose sum is σ = 36211968. Its totient is φ = 4148352.

The previous prime is 12691997. The next prime is 12692027. The reversal of 12692016 is 61029621.

It is a super-2 number, since 2×126920162 = 322174540288512, which contains 22 as substring.

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, 6801 + ... + 8463.

Almost surely, 212692016 is an apocalyptic number.

12692016 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 12692016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984).

12692016 is an abundant number, since it is smaller than the sum of its proper divisors (23519952).

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

12692016 is a wasteful number, since it uses less digits than its factorization.

12692016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12692016 is about 3562.5855779195. The cubic root of 12692016 is about 233.2617540077.

The spelling of 12692016 in words is "twelve million, six hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1663 1908 2544 3326 3816 4989 6652 7632 9978 13304 14967 19956 26608 29934 39912 59868 79824 88139 119736 176278 239472 264417 352556 528834 705112 793251 1057668 1410224 1586502 2115336 3173004 4230672 6346008 12692016