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12929460 = 22351131907
BaseRepresentation
bin110001010100…
…100110110100
3220022212212220
4301110212310
511302220320
61141042340
7214620135
oct61244664
926285786
1012929460
117331105
1243b63b0
1328a908b
141a07c8c
151205e40
hexc549b4

12929460 has 48 divisors (see below), whose sum is σ = 36542016. Its totient is φ = 3415552.

The previous prime is 12929453. The next prime is 12929467. The reversal of 12929460 is 6492921.

It is an interprime number because it is at equal distance from previous prime (12929453) and next prime (12929467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12929467) 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 15 ways as a sum of consecutive naturals, for example, 5827 + ... + 7733.

It is an arithmetic number, because the mean of its divisors is an integer number (761292).

Almost surely, 212929460 is an apocalyptic number.

12929460 is a gapful number since it is divisible by the number (10) 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 12929460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271008).

12929460 is an abundant number, since it is smaller than the sum of its proper divisors (23612556).

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

12929460 is a wasteful number, since it uses less digits than its factorization.

12929460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 12929460 is about 3595.7558315325. The cubic root of 12929460 is about 234.7074070896.

The spelling of 12929460 in words is "twelve million, nine hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 1907 2260 3390 3814 5721 6780 7628 9535 11442 19070 22884 28605 38140 57210 114420 215491 430982 646473 861964 1077455 1292946 2154910 2585892 3232365 4309820 6464730 12929460