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138076740 = 22325767093
BaseRepresentation
bin10000011101011…
…10001001000100
3100121211000200100
420032232021010
5240321423430
621411244100
73264430044
oct1016561104
9317730610
10138076740
1170a3910a
123a2a9630
13227b5b19
14144a3724
15c1c6960
hex83ae244

138076740 has 36 divisors (see below), whose sum is σ = 418833324. Its totient is φ = 36820416.

The previous prime is 138076739. The next prime is 138076787. The reversal of 138076740 is 47670831.

It can be written as a sum of positive squares in 2 ways, for example, as 63011844 + 75064896 = 7938^2 + 8664^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1380767402 = 38130372258055200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 138076695 and 138076704.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 383367 + ... + 383726.

It is an arithmetic number, because the mean of its divisors is an integer number (11634259).

Almost surely, 2138076740 is an apocalyptic number.

138076740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138076740 is an abundant number, since it is smaller than the sum of its proper divisors (280756584).

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

138076740 is a wasteful number, since it uses less digits than its factorization.

138076740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767108 (or 767103 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 138076740 is about 11750.6059418227. The cubic root of 138076740 is about 516.8606962311.

The spelling of 138076740 in words is "one hundred thirty-eight million, seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 767093 1534186 2301279 3068372 3835465 4602558 6903837 7670930 9205116 11506395 13807674 15341860 23012790 27615348 34519185 46025580 69038370 138076740