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12955008 = 273113067
BaseRepresentation
bin110001011010…
…110110000000
3220101011221010
4301122312000
511304030013
61141400520
7215054463
oct61326600
926334833
1012955008
117349320
124409140
1328b78b1
141a132da
15120d7c3
hexc5ad80

12955008 has 64 divisors (see below), whose sum is σ = 37552320. Its totient is φ = 3924480.

The previous prime is 12955001. The next prime is 12955027. The reversal of 12955008 is 80055921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12955001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2691 + ... + 5757.

It is an arithmetic number, because the mean of its divisors is an integer number (586755).

Almost surely, 212955008 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 12955008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18776160).

12955008 is an abundant number, since it is smaller than the sum of its proper divisors (24597312).

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

12955008 is a wasteful number, since it uses less digits than its factorization.

12955008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 12955008 is about 3599.3065998884. The cubic root of 12955008 is about 234.8618956167.

The spelling of 12955008 in words is "twelve million, nine hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 3067 4224 6134 9201 12268 18402 24536 33737 36804 49072 67474 73608 98144 101211 134948 147216 196288 202422 269896 294432 392576 404844 539792 588864 809688 1079584 1177728 1619376 2159168 3238752 4318336 6477504 12955008