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138114180 = 22335255767
BaseRepresentation
bin10000011101101…
…11010010000100
3100121212221001000
420032313102010
5240324123210
621412133300
73264644151
oct1016672204
9317787030
10138114180
1170a64256
123a307230
13227c9b89
14144b3228
15c1d2ac0
hex83b7484

138114180 has 48 divisors (see below), whose sum is σ = 429690240. Its totient is φ = 36830304.

The previous prime is 138114169. The next prime is 138114181. The reversal of 138114180 is 81411831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (138114181) 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, 127344 + ... + 128423.

It is an arithmetic number, because the mean of its divisors is an integer number (8951880).

Almost surely, 2138114180 is an apocalyptic number.

138114180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138114180 is an abundant number, since it is smaller than the sum of its proper divisors (291576060).

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

138114180 is a wasteful number, since it uses less digits than its factorization.

138114180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255785 (or 255777 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 138114180 is about 11752.1989431765. The cubic root of 138114180 is about 516.9074082157.

The spelling of 138114180 in words is "one hundred thirty-eight million, one hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 255767 511534 767301 1023068 1278835 1534602 2301903 2557670 3069204 3836505 4603806 5115340 6905709 7673010 9207612 11509515 13811418 15346020 23019030 27622836 34528545 46038060 69057090 138114180