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12918096 = 2433171759
BaseRepresentation
bin110001010001…
…110101010000
3220022022022000
4301101311100
511301334341
61140514000
7214542042
oct61216520
926268260
1012918096
117323614
1243ab900
1328a3b59
141a03a92
1512028b6
hexc51d50

12918096 has 80 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 4050432.

The previous prime is 12918089. The next prime is 12918097. The reversal of 12918096 is 69081921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12918096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12918097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6465 + ... + 8223.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 212918096 is an apocalyptic number.

12918096 is a gapful number since it is divisible by the number (16) 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 12918096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

12918096 is an abundant number, since it is smaller than the sum of its proper divisors (26365104).

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

12918096 is a wasteful number, since it uses less digits than its factorization.

12918096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12918096 is about 3594.1752878790. The cubic root of 12918096 is about 234.6386236864.

It can be divided in two parts, 129 and 18096, that added together give a square (18225 = 1352).

The spelling of 12918096 in words is "twelve million, nine hundred eighteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1759 1836 2448 3518 3672 5277 7036 7344 10554 14072 15831 21108 28144 29903 31662 42216 47493 59806 63324 84432 89709 94986 119612 126648 179418 189972 239224 253296 269127 358836 379944 478448 538254 717672 759888 807381 1076508 1435344 1614762 2153016 3229524 4306032 6459048 12918096