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138876324 = 22353593701
BaseRepresentation
bin10000100011100…
…01010110100100
3100200022122111120
420101301112210
5241023020244
621440333540
73304300146
oct1021612644
9320278446
10138876324
1171434924
123a6142b0
1322a05a52
1414630c96
15c2d3819
hex84715a4

138876324 has 48 divisors (see below), whose sum is σ = 335845440. Its totient is φ = 44636800.

The previous prime is 138876317. The next prime is 138876337. The reversal of 138876324 is 423678831.

138876324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1388763243 (a number of 25 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 35674 + ... + 39374.

It is an arithmetic number, because the mean of its divisors is an integer number (6996780).

Almost surely, 2138876324 is an apocalyptic number.

It is an amenable number.

138876324 is an abundant number, since it is smaller than the sum of its proper divisors (196969116).

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

138876324 is a wasteful number, since it uses less digits than its factorization.

138876324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3818 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 138876324 is about 11784.5799246303. The cubic root of 138876324 is about 517.8564670422.

The spelling of 138876324 in words is "one hundred thirty-eight million, eight hundred seventy-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 53 59 106 118 159 177 212 236 318 354 636 708 3127 3701 6254 7402 9381 11103 12508 14804 18762 22206 37524 44412 196153 218359 392306 436718 588459 655077 784612 873436 1176918 1310154 2353836 2620308 11573027 23146054 34719081 46292108 69438162 138876324