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13642381 = 172323741
BaseRepresentation
bin110100000010…
…101010001101
3221200002211101
4310002222031
511443024011
61204223101
7223646464
oct64025215
927602741
1013642381
1177787a5
12469aa91
132a9871c
141b519db
1512e72c1
hexd02a8d

13642381 has 24 divisors (see below), whose sum is σ = 15886584. Its totient is φ = 11658240.

The previous prime is 13642357. The next prime is 13642423. The reversal of 13642381 is 18324631.

13642381 is digitally balanced in base 3, 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 4 ways, for example, as 2975625 + 10666756 = 1725^2 + 3266^2 .

It is not a de Polignac number, because 13642381 - 213 = 13634189 is a prime.

It is a super-2 number, since 2×136423812 = 372229118698322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332721 + ... + 332761.

It is an arithmetic number, because the mean of its divisors is an integer number (661941).

Almost surely, 213642381 is an apocalyptic number.

It is an amenable number.

13642381 is a deficient number, since it is larger than the sum of its proper divisors (2244203).

13642381 is a wasteful number, since it uses less digits than its factorization.

13642381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 13642381 is about 3693.5593944053. The cubic root of 13642381 is about 238.9443274095.

The spelling of 13642381 in words is "thirteen million, six hundred forty-two thousand, three hundred eighty-one".

Divisors: 1 17 23 37 41 391 529 629 697 851 943 1517 8993 14467 16031 19573 21689 25789 34891 332741 368713 593147 802493 13642381