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12905136 = 243329873
BaseRepresentation
bin110001001110…
…101010110000
3220021122112000
4301032222300
511300431021
61140334000
7214456206
oct61165260
926248460
1012905136
117314902
1243a4300
13289ac9a
1419dd076
1511edb26
hexc4eab0

12905136 has 40 divisors (see below), whose sum is σ = 37043760. Its totient is φ = 4301568.

The previous prime is 12905131. The next prime is 12905141. The reversal of 12905136 is 63150921.

It is an interprime number because it is at equal distance from previous prime (12905131) and next prime (12905141).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12905131) 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 7 ways as a sum of consecutive naturals, for example, 14505 + ... + 15368.

It is an arithmetic number, because the mean of its divisors is an integer number (926094).

Almost surely, 212905136 is an apocalyptic number.

12905136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12905136 is an abundant number, since it is smaller than the sum of its proper divisors (24138624).

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

12905136 is a wasteful number, since it uses less digits than its factorization.

12905136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29890 (or 29878 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 12905136 is about 3592.3719183848. The cubic root of 12905136 is about 234.5601308482.

It can be divided in two parts, 12905 and 136, that added together give a triangular number (13041 = T161).

The spelling of 12905136 in words is "twelve million, nine hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 29873 59746 89619 119492 179238 238984 268857 358476 477968 537714 716952 806571 1075428 1433904 1613142 2150856 3226284 4301712 6452568 12905136