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12934320 = 243577699
BaseRepresentation
bin110001010101…
…110010110000
3220100010112220
4301111302300
511302344240
61141121040
7214640250
oct61256260
926303486
1012934320
117334823
1243b9180
1328ab359
141a09960
1512075d0
hexc55cb0

12934320 has 80 divisors (see below), whose sum is σ = 45830400. Its totient is φ = 2956032.

The previous prime is 12934309. The next prime is 12934321. The reversal of 12934320 is 2343921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12934321) 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, 2170 + ... + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 212934320 is an apocalyptic number.

12934320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12934320 is an abundant number, since it is smaller than the sum of its proper divisors (32896080).

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

12934320 is a wasteful number, since it uses less digits than its factorization.

12934320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 12934320 is about 3596.4315647597. The cubic root of 12934320 is about 234.7368111304.

The spelling of 12934320 in words is "twelve million, nine hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7699 15398 23097 30796 38495 46194 53893 61592 76990 92388 107786 115485 123184 153980 161679 184776 215572 230970 269465 307960 323358 369552 431144 461940 538930 615920 646716 808395 862288 923880 1077860 1293432 1616790 1847760 2155720 2586864 3233580 4311440 6467160 12934320