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12868992 = 273211171
BaseRepresentation
bin110001000101…
…110110000000
3220012210221100
4301011312000
511243301432
61135454400
7214245633
oct61056600
926183840
1012868992
11729a734
124387400
1328876b6
1419cdc1a
1511e307c
hexc45d80

12868992 has 48 divisors (see below), whose sum is σ = 37035180. Its totient is φ = 4289280.

The previous prime is 12868991. The next prime is 12869033. The reversal of 12868992 is 29986821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×128689922 = 331221910192128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12868991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4434 + ... + 6737.

Almost surely, 212868992 is an apocalyptic number.

12868992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12868992 is an abundant number, since it is smaller than the sum of its proper divisors (24166188).

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

12868992 is a wasteful number, since it uses less digits than its factorization.

12868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191 (or 11176 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 12868992 is about 3587.3377315218. The cubic root of 12868992 is about 234.3409450253.

The spelling of 12868992 in words is "twelve million, eight hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11171 22342 33513 44684 67026 89368 100539 134052 178736 201078 268104 357472 402156 536208 714944 804312 1072416 1429888 1608624 2144832 3217248 4289664 6434496 12868992