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12949160 = 2357103449
BaseRepresentation
bin110001011001…
…011010101000
3220100212220112
4301121122220
511303333120
61141313452
7215031440
oct61313250
926325815
1012949160
117344994
124405888
1328b5033
141a11120
15120bbc5
hexc596a8

12949160 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 4386816.

The previous prime is 12949147. The next prime is 12949163. The reversal of 12949160 is 6194921.

It is not an unprimeable number, because it can be changed into a prime (12949163) 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, 28616 + ... + 29064.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 212949160 is an apocalyptic number.

12949160 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 12949160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

12949160 is an abundant number, since it is smaller than the sum of its proper divisors (20746840).

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

12949160 is a wasteful number, since it uses less digits than its factorization.

12949160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 12949160 is about 3598.4941294936. The cubic root of 12949160 is about 234.8265507502.

The spelling of 12949160 in words is "twelve million, nine hundred forty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 449 515 721 824 898 1030 1442 1796 2060 2245 2884 3143 3592 3605 4120 4490 5768 6286 7210 8980 12572 14420 15715 17960 25144 28840 31430 46247 62860 92494 125720 184988 231235 323729 369976 462470 647458 924940 1294916 1618645 1849880 2589832 3237290 6474580 12949160