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138500076 = 2231113431877
BaseRepresentation
bin10000100000101…
…01011111101100
3100122121112101110
420100111133230
5240424000301
621424312020
73301142211
oct1020253754
9318545343
10138500076
11711a8180
123a472610
1322903710
1414573b08
15c25c0d6
hex84157ec

138500076 has 96 divisors (see below), whose sum is σ = 388700928. Its totient is φ = 37820160.

The previous prime is 138500059. The next prime is 138500099. The reversal of 138500076 is 670005831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72850 + ... + 74726.

It is an arithmetic number, because the mean of its divisors is an integer number (4048968).

Almost surely, 2138500076 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 138500076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194350464).

138500076 is an abundant number, since it is smaller than the sum of its proper divisors (250200852).

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

138500076 is a wasteful number, since it uses less digits than its factorization.

138500076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 138500076 is about 11768.6055248700. The cubic root of 138500076 is about 517.3883798563.

The spelling of 138500076 in words is "one hundred thirty-eight million, five hundred thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 43 44 52 66 78 86 129 132 143 156 172 258 286 429 473 516 559 572 858 946 1118 1419 1677 1716 1877 1892 2236 2838 3354 3754 5631 5676 6149 6708 7508 11262 12298 18447 20647 22524 24401 24596 36894 41294 48802 61941 73203 73788 80711 82588 97604 123882 146406 161422 242133 247764 268411 292812 322844 484266 536822 805233 887821 968532 1049243 1073644 1610466 1775642 2098486 2663463 3147729 3220932 3551284 4196972 5326926 6295458 10653852 11541673 12590916 23083346 34625019 46166692 69250038 138500076