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138898935 = 3357146983
BaseRepresentation
bin10000100011101…
…10110111110111
3100200100210112000
420101312313313
5241024231220
621441030343
73304423110
oct1021666767
9320323460
10138898935
117144a90a
123a6253b3
1322a13126
1414639207
15c2da390
hex8476df7

138898935 has 32 divisors (see below), whose sum is σ = 282209280. Its totient is φ = 63496224.

The previous prime is 138898927. The next prime is 138899017. The reversal of 138898935 is 539898831.

It is not a de Polignac number, because 138898935 - 23 = 138898927 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 72547 + ... + 74436.

It is an arithmetic number, because the mean of its divisors is an integer number (8819040).

Almost surely, 2138898935 is an apocalyptic number.

138898935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138898935 is an abundant number, since it is smaller than the sum of its proper divisors (143310345).

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

138898935 is a wasteful number, since it uses less digits than its factorization.

138898935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147004 (or 146998 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 138898935 is about 11785.5392324662. The cubic root of 138898935 is about 517.8845702658.

The spelling of 138898935 in words is "one hundred thirty-eight million, eight hundred ninety-eight thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 146983 440949 734915 1028881 1322847 2204745 3086643 3968541 5144405 6614235 9259929 15433215 19842705 27779787 46299645 138898935