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12699680 = 2557172329
BaseRepresentation
bin110000011100…
…100000100000
3212220012200112
4300130200200
511222342210
61132110452
7212642210
oct60344040
925805615
1012699680
117194504
124305428
132828606
141988240
1511acd05
hexc1c820

12699680 has 192 divisors, whose sum is σ = 39191040. Its totient is φ = 3784704.

The previous prime is 12699679. The next prime is 12699689. The reversal of 12699680 is 8699621.

It is a super-2 number, since 2×126996802 = 322563744204800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12699689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437906 + ... + 437934.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 212699680 is an apocalyptic number.

12699680 is a gapful number since it is divisible by the number (10) 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 12699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

12699680 is an abundant number, since it is smaller than the sum of its proper divisors (26491360).

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

12699680 is a wasteful number, since it uses less digits than its factorization.

12699680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

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

The square root of 12699680 is about 3563.6610388756. The cubic root of 12699680 is about 233.3086958113.

The spelling of 12699680 in words is "twelve million, six hundred ninety-nine thousand, six hundred eighty".