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138201804 = 2232131971499
BaseRepresentation
bin10000011110011…
…00101011001100
3100122001101020100
420033030223030
5240334424204
621414051100
73265460466
oct1017145314
9318041210
10138201804
1171014074
123a349a90
132282aa20
14144d7136
15c1eda39
hex83ccacc

138201804 has 72 divisors (see below), whose sum is σ = 378378000. Its totient is φ = 42279552.

The previous prime is 138201803. The next prime is 138201829. The reversal of 138201804 is 408102831.

It is not an unprimeable number, because it can be changed into a prime (138201803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 91447 + ... + 92945.

It is an arithmetic number, because the mean of its divisors is an integer number (5255250).

Almost surely, 2138201804 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 138201804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189189000).

138201804 is an abundant number, since it is smaller than the sum of its proper divisors (240176196).

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

138201804 is a wasteful number, since it uses less digits than its factorization.

138201804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138201804 is about 11755.9263352575. The cubic root of 138201804 is about 517.0166992375.

The spelling of 138201804 in words is "one hundred thirty-eight million, two hundred one thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 197 234 394 468 591 788 1182 1499 1773 2364 2561 2998 3546 4497 5122 5996 7092 7683 8994 10244 13491 15366 17988 19487 23049 26982 30732 38974 46098 53964 58461 77948 92196 116922 175383 233844 295303 350766 590606 701532 885909 1181212 1771818 2657727 3543636 3838939 5315454 7677878 10630908 11516817 15355756 23033634 34550451 46067268 69100902 138201804