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13900160 = 27537587
BaseRepresentation
bin110101000001…
…100110000000
3222011012102202
4311001212000
512024301120
61213532332
7226102151
oct65014600
928135382
1013900160
11793443a
1247a40a8
132b58b61
141bbb928
151348875
hexd41980

13900160 has 64 divisors (see below), whose sum is σ = 34186320. Its totient is φ = 5400576.

The previous prime is 13900147. The next prime is 13900163. The reversal of 13900160 is 6100931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13900163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23387 + ... + 23973.

Almost surely, 213900160 is an apocalyptic number.

13900160 is a gapful number since it is divisible by the number (10) 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 13900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093160).

13900160 is an abundant number, since it is smaller than the sum of its proper divisors (20286160).

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

13900160 is an equidigital number, since it uses as much as digits as its factorization.

13900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 13900160 is about 3728.2918340709. The cubic root of 13900160 is about 240.4399338240.

The spelling of 13900160 in words is "thirteen million, nine hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 587 592 640 740 1174 1184 1480 2348 2368 2935 2960 4696 4736 5870 5920 9392 11740 11840 18784 21719 23480 23680 37568 43438 46960 75136 86876 93920 108595 173752 187840 217190 347504 375680 434380 695008 868760 1390016 1737520 2780032 3475040 6950080 13900160