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12946272 = 253134857
BaseRepresentation
bin110001011000…
…101101100000
3220100201221120
4301120231200
511303240042
61141252240
7215020143
oct61305540
926321846
1012946272
1173427a9
124404080
1328b3921
141a1005a
15120adec
hexc58b60

12946272 has 24 divisors (see below), whose sum is σ = 33984216. Its totient is φ = 4315392.

The previous prime is 12946259. The next prime is 12946273. The reversal of 12946272 is 27264921.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12946273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67333 + ... + 67524.

It is an arithmetic number, because the mean of its divisors is an integer number (1416009).

Almost surely, 212946272 is an apocalyptic number.

12946272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12946272 is an abundant number, since it is smaller than the sum of its proper divisors (21037944).

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

12946272 is a wasteful number, since it uses less digits than its factorization.

12946272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134870 (or 134862 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 12946272 is about 3598.0928281522. The cubic root of 12946272 is about 234.8090919729.

The spelling of 12946272 in words is "twelve million, nine hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 134857 269714 404571 539428 809142 1078856 1618284 2157712 3236568 4315424 6473136 12946272