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12608973 = 331335923
BaseRepresentation
bin110000000110…
…010111001101
3212201121021000
4300012113031
511211441343
61130130513
7212113566
oct60062715
925647230
1012608973
117132343
124280a39
1327c6240
14196316d
151190ed3
hexc065cd

12608973 has 16 divisors (see below), whose sum is σ = 20117440. Its totient is φ = 7759152.

The previous prime is 12608963. The next prime is 12608977. The reversal of 12608973 is 37980621.

12608973 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12608973 - 24 = 12608957 is a prime.

It is a super-2 number, since 2×126089732 = 317972400229458, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12608977) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17611 + ... + 18312.

It is an arithmetic number, because the mean of its divisors is an integer number (1257340).

Almost surely, 212608973 is an apocalyptic number.

12608973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12608973 is a deficient number, since it is larger than the sum of its proper divisors (7508467).

12608973 is a wasteful number, since it uses less digits than its factorization.

12608973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35945 (or 35939 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12608973 is about 3550.9115731034. The cubic root of 12608973 is about 232.7519017967.

The spelling of 12608973 in words is "twelve million, six hundred eight thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 27 39 117 351 35923 107769 323307 466999 969921 1400997 4202991 12608973