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138436092 = 223237432417
BaseRepresentation
bin10000100000001…
…01110111111100
3100122111021121200
420100011313330
5240414423332
621423055500
73300454524
oct1020056774
9318437550
10138436092
11711640a3
123a441590
13228b0562
1414558684
15c24817c
hex8405dfc

138436092 has 72 divisors (see below), whose sum is σ = 367903536. Its totient is φ = 43835904.

The previous prime is 138436087. The next prime is 138436093. The reversal of 138436092 is 290634831.

138436092 is a `hidden beast` number, since 1 + 3 + 8 + 43 + 609 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138436093) 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, 56068 + ... + 58484.

Almost surely, 2138436092 is an apocalyptic number.

138436092 is a gapful number since it is divisible by the number (12) 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 138436092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183951768).

138436092 is an abundant number, since it is smaller than the sum of its proper divisors (229467444).

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

138436092 is a wasteful number, since it uses less digits than its factorization.

138436092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 138436092 is about 11765.8867919082. The cubic root of 138436092 is about 517.3086935528.

The spelling of 138436092 in words is "one hundred thirty-eight million, four hundred thirty-six thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 43 74 86 111 129 148 172 222 258 333 387 444 516 666 774 1332 1548 1591 2417 3182 4773 4834 6364 7251 9546 9668 14319 14502 19092 21753 28638 29004 43506 57276 87012 89429 103931 178858 207862 268287 311793 357716 415724 536574 623586 804861 935379 1073148 1247172 1609722 1870758 3219444 3741516 3845447 7690894 11536341 15381788 23072682 34609023 46145364 69218046 138436092