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138540084 = 223101151757
BaseRepresentation
bin10000100000111…
…11010000110100
3100122200120021020
420100133100310
5240431240314
621425221140
73301366644
oct1020372064
9318616236
10138540084
1171225241
123a4917b0
13229189a7
1414584524
15c268da9
hex841f434

138540084 has 48 divisors (see below), whose sum is σ = 329056896. Its totient is φ = 45360000.

The previous prime is 138540041. The next prime is 138540133. The reversal of 138540084 is 480045831.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 182634 + ... + 183390.

It is an arithmetic number, because the mean of its divisors is an integer number (6855352).

Almost surely, 2138540084 is an apocalyptic number.

It is an amenable number.

138540084 is an abundant number, since it is smaller than the sum of its proper divisors (190516812).

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

138540084 is a wasteful number, since it uses less digits than its factorization.

138540084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 138540084 is about 11770.3051787114. The cubic root of 138540084 is about 517.4381937435.

The spelling of 138540084 in words is "one hundred thirty-eight million, five hundred forty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 101 151 202 302 303 404 453 604 606 757 906 1212 1514 1812 2271 3028 4542 9084 15251 30502 45753 61004 76457 91506 114307 152914 183012 228614 229371 305828 342921 457228 458742 685842 917484 1371684 11545007 23090014 34635021 46180028 69270042 138540084