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13317372 = 22364567
BaseRepresentation
bin110010110011…
…010011111100
3221001121000000
4302303103330
511402123442
61153234300
7221124105
oct62632374
927047000
1013317372
1175765a2
124562990
1329b3803
141aa93ac
151280d4c
hexcb34fc

13317372 has 42 divisors (see below), whose sum is σ = 34949768. Its totient is φ = 4438152.

The previous prime is 13317371. The next prime is 13317377. The reversal of 13317372 is 27371331.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13317371) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 633 + ... + 5199.

Almost surely, 213317372 is an apocalyptic number.

13317372 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 13317372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474884).

13317372 is an abundant number, since it is smaller than the sum of its proper divisors (21632396).

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

13317372 is an equidigital number, since it uses as much as digits as its factorization.

13317372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4572 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 13317372 is about 3649.2974666366. The cubic root of 13317372 is about 237.0315612511.

It can be divided in two parts, 13317 and 372, that added together give a square (13689 = 1172).

The spelling of 13317372 in words is "thirteen million, three hundred seventeen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4567 9134 13701 18268 27402 41103 54804 82206 123309 164412 246618 369927 493236 739854 1109781 1479708 2219562 3329343 4439124 6658686 13317372