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12745964 = 22711291427
BaseRepresentation
bin110000100111…
…110011101100
3212222120011202
4300213303230
511230332324
61133105032
7213224150
oct60476354
925876152
1012745964
117216260
124328178
1328436ba
14199b060
1511bb8ae
hexc27cec

12745964 has 48 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 4791360.

The previous prime is 12745961. The next prime is 12745973. The reversal of 12745964 is 46954721.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12745961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8219 + ... + 9645.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 212745964 is an apocalyptic number.

12745964 is a gapful number since it is divisible by the number (14) 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 12745964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

12745964 is an abundant number, since it is smaller than the sum of its proper divisors (16042516).

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

12745964 is a wasteful number, since it uses less digits than its factorization.

12745964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1476 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 12745964 is about 3570.1490164978. The cubic root of 12745964 is about 233.5917834650.

The spelling of 12745964 in words is "twelve million, seven hundred forty-five thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 1427 2233 2854 4466 5708 8932 9989 15697 19978 31394 39956 41383 62788 82766 109879 165532 219758 289681 439516 455213 579362 910426 1158724 1820852 3186491 6372982 12745964