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138403540 = 22511631997
BaseRepresentation
bin10000011111111…
…01111011010100
3100122102121222001
420033331323110
5240412403130
621422245044
73300260602
oct1017757324
9318377861
10138403540
11711416a0
123a426784
132289b7b2
141454a872
15c23d6ca
hex83fded4

138403540 has 48 divisors (see below), whose sum is σ = 317890944. Its totient is φ = 50198400.

The previous prime is 138403523. The next prime is 138403549. The reversal of 138403540 is 45304831.

It is a junction number, because it is equal to n+sod(n) for n = 138403499 and 138403508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138403549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138322 + ... + 139318.

It is an arithmetic number, because the mean of its divisors is an integer number (6622728).

Almost surely, 2138403540 is an apocalyptic number.

138403540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138403540 is an abundant number, since it is smaller than the sum of its proper divisors (179487404).

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

138403540 is a wasteful number, since it uses less digits than its factorization.

138403540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 138403540 is about 11764.5033894338. The cubic root of 138403540 is about 517.2681435479.

The spelling of 138403540 in words is "one hundred thirty-eight million, four hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 631 997 1262 1994 2524 3155 3988 4985 6310 6941 9970 10967 12620 13882 19940 21934 27764 34705 43868 54835 69410 109670 138820 219340 629107 1258214 2516428 3145535 6291070 6920177 12582140 13840354 27680708 34600885 69201770 138403540