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138232400 = 2452345581
BaseRepresentation
bin10000011110101…
…00001001010000
3100122002221012112
420033110021100
5240341414100
621414444452
73265645625
oct1017241120
9318087175
10138232400
1171035059
123a363728
132283b927
141450434c
15c207b35
hex83d4250

138232400 has 30 divisors (see below), whose sum is σ = 332104302. Its totient is φ = 55292800.

The previous prime is 138232399. The next prime is 138232411. The reversal of 138232400 is 4232831.

It can be written as a sum of positive squares in 3 ways, for example, as 7907344 + 130325056 = 2812^2 + 11416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172391 + ... + 173190.

Almost surely, 2138232400 is an apocalyptic number.

138232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138232400 is an abundant number, since it is smaller than the sum of its proper divisors (193871902).

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

138232400 is a wasteful number, since it uses less digits than its factorization.

138232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345599 (or 345588 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 138232400 is about 11757.2275643538. The cubic root of 138232400 is about 517.0548499111.

The spelling of 138232400 in words is "one hundred thirty-eight million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 345581 691162 1382324 1727905 2764648 3455810 5529296 6911620 8639525 13823240 17279050 27646480 34558100 69116200 138232400