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138608360 = 235111013119
BaseRepresentation
bin10000100001011…
…11111011101000
3100122211000220222
420100233323220
5240440431420
621430505212
73302103002
oct1020577350
9318730828
10138608360
1171271570
123a505208
1322940aa7
14145a1372
15c27e225
hex842fee8

138608360 has 64 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 49888000.

The previous prime is 138608341. The next prime is 138608377. The reversal of 138608360 is 63806831.

It is a happy number.

138608360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 138608360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42881 + ... + 45999.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2138608360 is an apocalyptic number.

138608360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138608360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

138608360 is an abundant number, since it is smaller than the sum of its proper divisors (205090840).

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

138608360 is a wasteful number, since it uses less digits than its factorization.

138608360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 138608360 is about 11773.2051710654. The cubic root of 138608360 is about 517.5231819218.

The spelling of 138608360 in words is "one hundred thirty-eight million, six hundred eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 3119 4040 4444 5555 6238 8888 11110 12476 15595 22220 24952 31190 34309 44440 62380 68618 124760 137236 171545 274472 315019 343090 630038 686180 1260076 1372360 1575095 2520152 3150190 3465209 6300380 6930418 12600760 13860836 17326045 27721672 34652090 69304180 138608360