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138813615 = 33567103149
BaseRepresentation
bin10000100011000…
…10000010101111
3100200012110111000
420101202002233
5241014013430
621435131343
73303616263
oct1021420257
9320173430
10138813615
11713a17a6
123a5a3b53
13229b3345
14146160a3
15c2bee60
hex84620af

138813615 has 64 divisors (see below), whose sum is σ = 254592000. Its totient is φ = 71736192.

The previous prime is 138813611. The next prime is 138813641. The reversal of 138813615 is 516318831.

138813615 is a `hidden beast` number, since 1 + 38 + 8 + 1 + 3 + 615 = 666.

It is not a de Polignac number, because 138813615 - 22 = 138813611 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138813615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138813611) 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 63 ways as a sum of consecutive naturals, for example, 931561 + ... + 931709.

It is an arithmetic number, because the mean of its divisors is an integer number (3978000).

Almost surely, 2138813615 is an apocalyptic number.

138813615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138813615 is a deficient number, since it is larger than the sum of its proper divisors (115778385).

138813615 is a wasteful number, since it uses less digits than its factorization.

138813615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 138813615 is about 11781.9189863112. The cubic root of 138813615 is about 517.7785100290.

The spelling of 138813615 in words is "one hundred thirty-eight million, eight hundred thirteen thousand, six hundred fifteen".

Divisors: 1 3 5 9 15 27 45 67 103 135 149 201 309 335 447 515 603 745 927 1005 1341 1545 1809 2235 2781 3015 4023 4635 6705 6901 9045 9983 13905 15347 20115 20703 29949 34505 46041 49915 62109 76735 89847 103515 138123 149745 186327 230205 269541 310545 414369 449235 690615 931635 1028249 1347705 2071845 3084747 5141245 9254241 15423735 27762723 46271205 138813615