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138769092 = 223371123741
BaseRepresentation
bin10000100010101…
…11001011000100
3100200010012102000
420101113023010
5241011102332
621434145300
73303342420
oct1021271304
9320105360
10138769092
1171371300
123a582230
1322998cb7
1414603b80
15c2b1b7c
hex84572c4

138769092 has 288 divisors, whose sum is σ = 475480320. Its totient is φ = 34214400.

The previous prime is 138769087. The next prime is 138769093. The reversal of 138769092 is 290967831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138769093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3384592 + ... + 3384632.

Almost surely, 2138769092 is an apocalyptic number.

138769092 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 138769092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237740160).

138769092 is an abundant number, since it is smaller than the sum of its proper divisors (336711228).

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

138769092 is a wasteful number, since it uses less digits than its factorization.

138769092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 138769092 is about 11780.0293717800. The cubic root of 138769092 is about 517.7231467811.

The spelling of 138769092 in words is "one hundred thirty-eight million, seven hundred sixty-nine thousand, ninety-two".