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138070976 = 2637199293
BaseRepresentation
bin10000011101011…
…00101111000000
3100121210201202212
420032230233000
5240321232401
621411201252
73264404201
oct1016545700
9317721685
10138070976
1170a3484a
123a2a6228
13227b3304
14144a15a8
15c1c4dbb
hex83acbc0

138070976 has 56 divisors (see below), whose sum is σ = 283768800. Its totient is φ = 66604032.

The previous prime is 138070901. The next prime is 138070997. The reversal of 138070976 is 679070831.

It is a congruent number.

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, 471086 + ... + 471378.

It is an arithmetic number, because the mean of its divisors is an integer number (5067300).

Almost surely, 2138070976 is an apocalyptic number.

138070976 is a gapful number since it is divisible by the number (16) 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 138070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141884400).

138070976 is an abundant number, since it is smaller than the sum of its proper divisors (145697824).

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

138070976 is a wasteful number, since it uses less digits than its factorization.

138070976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 138070976 is about 11750.3606753155. The cubic root of 138070976 is about 516.8535040312.

The spelling of 138070976 in words is "one hundred thirty-eight million, seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 199 293 296 398 586 592 796 1172 1184 1592 2344 2368 3184 4688 6368 7363 9376 10841 12736 14726 18752 21682 29452 43364 58307 58904 86728 116614 117808 173456 233228 235616 346912 466456 471232 693824 932912 1865824 2157359 3731648 4314718 8629436 17258872 34517744 69035488 138070976