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13915764 = 2232386549
BaseRepresentation
bin110101000101…
…011001110100
3222011222211200
4311011121310
512030301024
61214132500
7226165512
oct65053164
928158750
1013915764
117945135
1247b1130
132b62ca5
141bc34b2
15134d2c9
hexd45674

13915764 has 18 divisors (see below), whose sum is σ = 35176050. Its totient is φ = 4638576.

The previous prime is 13915763. The next prime is 13915793. The reversal of 13915764 is 46751931.

13915764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7952400 + 5963364 = 2820^2 + 2442^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 386549 = 13915764 / (1 + 3 + 9 + 1 + 5 + 7 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13915763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 193239 + ... + 193310.

It is an arithmetic number, because the mean of its divisors is an integer number (1954225).

Almost surely, 213915764 is an apocalyptic number.

It is an amenable number.

13915764 is an abundant number, since it is smaller than the sum of its proper divisors (21260286).

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

13915764 is a wasteful number, since it uses less digits than its factorization.

13915764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386559 (or 386554 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 13915764 is about 3730.3838944538. The cubic root of 13915764 is about 240.5298709589.

The spelling of 13915764 in words is "thirteen million, nine hundred fifteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 386549 773098 1159647 1546196 2319294 3478941 4638588 6957882 13915764