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13920000252 = 2233678093907
BaseRepresentation
bin11001111011011001…
…00101100011111100
31022221002221021112220
430331230211203330
5212002010002002
610221133525340
71001644023054
oct147554454374
938832837486
1013920000252
1159a3528244
122845943850
13140ab7b952
14960a10564
155670ce7bc
hex33db258fc

13920000252 has 48 divisors (see below), whose sum is σ = 32617105920. Its totient is φ = 4620454272.

The previous prime is 13920000239. The next prime is 13920000253. The reversal of 13920000252 is 25200002931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13920000253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3560883 + ... + 3564789.

It is an arithmetic number, because the mean of its divisors is an integer number (679523040).

Almost surely, 213920000252 is an apocalyptic number.

13920000252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13920000252 is an abundant number, since it is smaller than the sum of its proper divisors (18697105668).

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

13920000252 is a wasteful number, since it uses less digits than its factorization.

13920000252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 13920000252 in words is "thirteen billion, nine hundred twenty million, two hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 367 734 809 1101 1468 1618 2202 2427 3236 3907 4404 4854 7814 9708 11721 15628 23442 46884 296903 593806 890709 1187612 1433869 1781418 2867738 3160763 3562836 4301607 5735476 6321526 8603214 9482289 12643052 17206428 18964578 37929156 1160000021 2320000042 3480000063 4640000084 6960000126 13920000252