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12935172 = 2234161431
BaseRepresentation
bin110001010110…
…000000000100
3220100011201110
4301112000010
511302411142
61141125020
7214642605
oct61260004
926304643
1012935172
117335428
1243b9770
1328ab863
141a09dac
15120799c
hexc56004

12935172 has 48 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 4128000.

The previous prime is 12935161. The next prime is 12935173. The reversal of 12935172 is 27153921.

Its product of digits (3780) is a multiple of the sum of its prime factors (540).

It is not an unprimeable number, because it can be changed into a prime (12935173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29797 + ... + 30227.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 212935172 is an apocalyptic number.

12935172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12935172 is an abundant number, since it is smaller than the sum of its proper divisors (18562812).

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

12935172 is a wasteful number, since it uses less digits than its factorization.

12935172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 12935172 is about 3596.5500135547. The cubic root of 12935172 is about 234.7419651540.

It can be divided in two parts, 1293 and 5172, that multiplied together give a square (6687396 = 25862).

The spelling of 12935172 in words is "twelve million, nine hundred thirty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 41 61 82 122 123 164 183 244 246 366 431 492 732 862 1293 1724 2501 2586 5002 5172 7503 10004 15006 17671 26291 30012 35342 52582 53013 70684 78873 105164 106026 157746 212052 315492 1077931 2155862 3233793 4311724 6467586 12935172