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138238632 = 23327274283
BaseRepresentation
bin10000011110101…
…01101010101000
3100122010020202100
420033111222220
5240342114012
621414533400
73266003040
oct1017255250
9318106670
10138238632
1171039804
123a367260
132284170c
1414506720
15c2098dc
hex83d5aa8

138238632 has 48 divisors (see below), whose sum is σ = 427883040. Its totient is φ = 39496608.

The previous prime is 138238631. The next prime is 138238651. The reversal of 138238632 is 236832831.

138238632 is a `hidden beast` number, since 13 + 8 + 2 + 3 + 8 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138238631) 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, 136638 + ... + 137645.

It is an arithmetic number, because the mean of its divisors is an integer number (8914230).

Almost surely, 2138238632 is an apocalyptic number.

138238632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138238632 is an abundant number, since it is smaller than the sum of its proper divisors (289644408).

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

138238632 is a wasteful number, since it uses less digits than its factorization.

138238632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274302 (or 274295 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 138238632 is about 11757.4925898339. The cubic root of 138238632 is about 517.0626200079.

The spelling of 138238632 in words is "one hundred thirty-eight million, two hundred thirty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 274283 548566 822849 1097132 1645698 1919981 2194264 2468547 3291396 3839962 4937094 5759943 6582792 7679924 9874188 11519886 15359848 17279829 19748376 23039772 34559658 46079544 69119316 138238632