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138191872 = 2107131483
BaseRepresentation
bin10000011110010…
…10010000000000
3100122000212121111
420033022100000
5240334114442
621413533104
73265416520
oct1017122000
9318025544
10138191872
1171007665
123a344194
1322826350
14144d3680
15c1eab17
hex83ca400

138191872 has 88 divisors (see below), whose sum is σ = 340227776. Its totient is φ = 54632448.

The previous prime is 138191869. The next prime is 138191897. The reversal of 138191872 is 278191831.

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, 92443 + ... + 93925.

Almost surely, 2138191872 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 138191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170113888).

138191872 is an abundant number, since it is smaller than the sum of its proper divisors (202035904).

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

138191872 is a wasteful number, since it uses less digits than its factorization.

138191872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1505 counting only the distinct ones).

The product of its digits is 24192, while the sum is 40.

The square root of 138191872 is about 11755.5039024280. The cubic root of 138191872 is about 517.0043136470.

The spelling of 138191872 in words is "one hundred thirty-eight million, one hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1483 1664 1792 2912 2966 3328 3584 5824 5932 6656 7168 10381 11648 11864 13312 19279 20762 23296 23728 38558 41524 46592 47456 77116 83048 93184 94912 134953 154232 166096 189824 269906 308464 332192 379648 539812 616928 664384 759296 1079624 1233856 1328768 1518592 2159248 2467712 2657536 4318496 4935424 5315072 8636992 9870848 10630144 17273984 19741696 34547968 69095936 138191872