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138185104 = 24233112113
BaseRepresentation
bin10000011110010…
…00100110010000
3100122000112022211
420033020212100
5240333410404
621413441504
73265361011
oct1017104620
9318015284
10138185104
1171002572
123a340294
1322823245
14144d1008
15c1e8b04
hex83c8990

138185104 has 40 divisors (see below), whose sum is σ = 288410112. Its totient is φ = 63951360.

The previous prime is 138185093. The next prime is 138185111. The reversal of 138185104 is 401581831.

138185104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5352 + ... + 17464.

Almost surely, 2138185104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138185104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144205056).

138185104 is an abundant number, since it is smaller than the sum of its proper divisors (150225008).

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

138185104 is a wasteful number, since it uses less digits than its factorization.

138185104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12175 (or 12169 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 138185104 is about 11755.2160337443. The cubic root of 138185104 is about 516.9958733476.

The spelling of 138185104 in words is "one hundred thirty-eight million, one hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 1426 2852 5704 11408 12113 24226 48452 96904 193808 278599 375503 557198 751006 1114396 1502012 2228792 3004024 4457584 6008048 8636569 17273138 34546276 69092552 138185104