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138304908 = 2235720327
BaseRepresentation
bin10000011111001…
…01110110001100
3100122020121200000
420033211312030
5240401224113
621420204300
73266400210
oct1017456614
9318217600
10138304908
1171084585
123a399690
1322865931
1414522940
15c21e373
hex83e5d8c

138304908 has 72 divisors (see below), whose sum is σ = 414365952. Its totient is φ = 39513744.

The previous prime is 138304897. The next prime is 138304913. The reversal of 138304908 is 809403831.

138304908 is a `hidden beast` number, since 138 + 30 + 490 + 8 = 666.

138304908 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3360 + ... + 16967.

Almost surely, 2138304908 is an apocalyptic number.

138304908 is a gapful number since it is divisible by the number (18) 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 138304908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207182976).

138304908 is an abundant number, since it is smaller than the sum of its proper divisors (276061044).

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

138304908 is a wasteful number, since it uses less digits than its factorization.

138304908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20353 (or 20339 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138304908 is about 11760.3107101811. The cubic root of 138304908 is about 517.1452388982.

The spelling of 138304908 in words is "one hundred thirty-eight million, three hundred four thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 20327 40654 60981 81308 121962 142289 182943 243924 284578 365886 426867 548829 569156 731772 853734 1097658 1280601 1646487 1707468 2195316 2561202 3292974 3841803 4939461 5122404 6585948 7683606 9878922 11525409 15367212 19757844 23050818 34576227 46101636 69152454 138304908