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138023093 = 13292691361
BaseRepresentation
bin10000011101000…
…01000010110101
3100121201022002102
420032201002311
5240313214333
621410151445
73264114455
oct1016410265
9317638072
10138023093
1170a0187a
123a282585
1322797590
141448bd65
15c1b5ae8
hex83a10b5

138023093 has 16 divisors (see below), whose sum is σ = 154450800. Its totient is φ = 122465280.

The previous prime is 138023089. The next prime is 138023111. The reversal of 138023093 is 390320831.

It can be written as a sum of positive squares in 8 ways, for example, as 47430769 + 90592324 = 6887^2 + 9518^2 .

It is a cyclic number.

It is not a de Polignac number, because 138023093 - 22 = 138023089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138023003) 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 15 ways as a sum of consecutive naturals, for example, 100733 + ... + 102093.

It is an arithmetic number, because the mean of its divisors is an integer number (9653175).

Almost surely, 2138023093 is an apocalyptic number.

138023093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138023093 is a deficient number, since it is larger than the sum of its proper divisors (16427707).

138023093 is a wasteful number, since it uses less digits than its factorization.

138023093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 138023093 is about 11748.3229867075. The cubic root of 138023093 is about 516.7937488760.

The spelling of 138023093 in words is "one hundred thirty-eight million, twenty-three thousand, ninety-three".

Divisors: 1 13 29 269 377 1361 3497 7801 17693 39469 101413 366109 513097 4759417 10617161 138023093