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12657064 = 237792861
BaseRepresentation
bin110000010010…
…000110101000
3212211001020011
4300102012220
511220011224
61131141304
7212404030
oct60220650
925731204
1012657064
117165492
1242a4834
1328120b4
1419768c0
1511a0394
hexc121a8

12657064 has 32 divisors (see below), whose sum is σ = 27475200. Its totient is φ = 5353920.

The previous prime is 12657049. The next prime is 12657077. The reversal of 12657064 is 46075621.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2994 + ... + 5854.

It is an arithmetic number, because the mean of its divisors is an integer number (858600).

Almost surely, 212657064 is an apocalyptic number.

12657064 is a gapful number since it is divisible by the number (14) 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 12657064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737600).

12657064 is an abundant number, since it is smaller than the sum of its proper divisors (14818136).

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

12657064 is a wasteful number, since it uses less digits than its factorization.

12657064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 12657064 is about 3557.6767700284. The cubic root of 12657064 is about 233.0474339624.

The spelling of 12657064 in words is "twelve million, six hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 2212 2861 4424 5722 11444 20027 22888 40054 80108 160216 226019 452038 904076 1582133 1808152 3164266 6328532 12657064