Search a number
-
+
137939427 = 3267722639
BaseRepresentation
bin10000011100011…
…00100111100011
3100121120001022200
420032030213203
5240303030202
621404304243
73263315523
oct1016144743
9317501280
10137939427
1170954a2a
123a242083
1322768482
1414469683
15c19ae1c
hex838c9e3

137939427 has 12 divisors (see below), whose sum is σ = 199548960. Its totient is φ = 91819728.

The previous prime is 137939423. The next prime is 137939467. The reversal of 137939427 is 724939731.

137939427 is a `hidden beast` number, since 137 + 93 + 9 + 427 = 666.

It is not a de Polignac number, because 137939427 - 22 = 137939423 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137939423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5227 + ... + 17412.

It is an arithmetic number, because the mean of its divisors is an integer number (16629080).

Almost surely, 2137939427 is an apocalyptic number.

137939427 is a deficient number, since it is larger than the sum of its proper divisors (61609533).

137939427 is a wasteful number, since it uses less digits than its factorization.

137939427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23322 (or 23319 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 137939427 is about 11744.7616834059. The cubic root of 137939427 is about 516.6893054712.

It can be divided in two parts, 13793 and 9427, that added together give a triangular number (23220 = T215).

The spelling of 137939427 in words is "one hundred thirty-seven million, nine hundred thirty-nine thousand, four hundred twenty-seven".

Divisors: 1 3 9 677 2031 6093 22639 67917 203751 15326603 45979809 137939427