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12991392 = 253279571
BaseRepresentation
bin110001100011…
…101110100000
3220110000211200
4301203232200
511311211032
61142241200
7215265531
oct61435640
926400750
1012991392
117373697
124426200
1328cb31b
141a22688
15121947c
hexc63ba0

12991392 has 72 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 4268160.

The previous prime is 12991379. The next prime is 12991393. The reversal of 12991392 is 29319921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is not an unprimeable number, because it can be changed into a prime (12991393) 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 11 ways as a sum of consecutive naturals, for example, 22467 + ... + 23037.

It is an arithmetic number, because the mean of its divisors is an integer number (520520).

Almost surely, 212991392 is an apocalyptic number.

12991392 is a gapful number since it is divisible by the number (12) 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 12991392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

12991392 is an abundant number, since it is smaller than the sum of its proper divisors (24486048).

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

12991392 is a wasteful number, since it uses less digits than its factorization.

12991392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 655 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 12991392 is about 3604.3573629705. The cubic root of 12991392 is about 235.0815591361.

The spelling of 12991392 in words is "twelve million, nine hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 571 632 711 948 1142 1264 1422 1713 1896 2284 2528 2844 3426 3792 4568 5139 5688 6852 7584 9136 10278 11376 13704 18272 20556 22752 27408 41112 45109 54816 82224 90218 135327 164448 180436 270654 360872 405981 541308 721744 811962 1082616 1443488 1623924 2165232 3247848 4330464 6495696 12991392