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12991572 = 22321153619
BaseRepresentation
bin110001100011…
…110001010100
3220110001002100
4301203301110
511311212242
61142242100
7215266206
oct61436124
926401070
1012991572
117373840
124426330
1328cb429
141a22776
15121954c
hexc63c54

12991572 has 72 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 3856320.

The previous prime is 12991571. The next prime is 12991603. The reversal of 12991572 is 27519921.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12991571) 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 23 ways as a sum of consecutive naturals, for example, 20679 + ... + 21297.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 212991572 is an apocalyptic number.

12991572 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 12991572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

12991572 is an abundant number, since it is smaller than the sum of its proper divisors (23568588).

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

12991572 is a wasteful number, since it uses less digits than its factorization.

12991572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 688 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 12991572 is about 3604.3823326612. The cubic root of 12991572 is about 235.0826448418.

The spelling of 12991572 in words is "twelve million, nine hundred ninety-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 619 636 954 1166 1238 1749 1857 1908 2332 2476 3498 3714 5247 5571 6809 6996 7428 10494 11142 13618 20427 20988 22284 27236 32807 40854 61281 65614 81708 98421 122562 131228 196842 245124 295263 360877 393684 590526 721754 1082631 1181052 1443508 2165262 3247893 4330524 6495786 12991572