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13231372 = 22721117192
BaseRepresentation
bin110010011110…
…010100001100
3220220020000211
4302132110030
511341400442
61151332204
7220315300
oct62362414
926806024
1013231372
117517a20
124521064
13298361b
141a85d00
151265617
hexc9e50c

13231372 has 108 divisors (see below), whose sum is σ = 32836104. Its totient is φ = 4596480.

The previous prime is 13231369. The next prime is 13231373. The reversal of 13231372 is 27313231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (756) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (13231373) 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 35 ways as a sum of consecutive naturals, for example, 696379 + ... + 696397.

It is an arithmetic number, because the mean of its divisors is an integer number (304038).

Almost surely, 213231372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13231372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418052).

13231372 is an abundant number, since it is smaller than the sum of its proper divisors (19604732).

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

13231372 is a wasteful number, since it uses less digits than its factorization.

13231372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its digits is 756, while the sum is 22.

The square root of 13231372 is about 3637.4952920932. The cubic root of 13231372 is about 236.5202303359.

The spelling of 13231372 in words is "thirteen million, two hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 14 17 19 22 28 34 38 44 49 68 76 77 98 119 133 154 187 196 209 238 266 308 323 361 374 418 476 532 539 646 722 748 833 836 931 1078 1292 1309 1444 1463 1666 1862 2156 2261 2527 2618 2926 3332 3553 3724 3971 4522 5054 5236 5852 6137 7106 7942 9044 9163 10108 10241 12274 14212 15827 15884 17689 18326 20482 24548 24871 27797 31654 35378 36652 40964 42959 49742 55594 63308 67507 70756 85918 99484 111188 135014 171836 174097 194579 270028 300713 348194 389158 472549 601426 696388 778316 945098 1202852 1890196 3307843 6615686 13231372