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138935118 = 23717316277
BaseRepresentation
bin10000100011111…
…11101101001110
3100200102122011010
420101333231032
5241031410433
621441510050
73304633440
oct1021775516
9320378133
10138935118
1171475013
123a642326
1322a2673a
1414648490
15c2e5e63
hex847fb4e

138935118 has 64 divisors (see below), whose sum is σ = 347148288. Its totient is φ = 36149760.

The previous prime is 138935117. The next prime is 138935179. The reversal of 138935118 is 811539831.

138935118 = 1372 + 1382 + ... + 7482.

It is a super-3 number, since 3×1389351183 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138935117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18996 + ... + 25272.

It is an arithmetic number, because the mean of its divisors is an integer number (5424192).

Almost surely, 2138935118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138935118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173574144).

138935118 is an abundant number, since it is smaller than the sum of its proper divisors (208213170).

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

138935118 is a wasteful number, since it uses less digits than its factorization.

138935118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337.

The product of its digits is 25920, while the sum is 39.

The square root of 138935118 is about 11787.0741916728. The cubic root of 138935118 is about 517.9295357906.

The spelling of 138935118 in words is "one hundred thirty-eight million, nine hundred thirty-five thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 1054 1302 1581 3162 3689 6277 7378 11067 12554 18831 22134 37662 43939 87878 106709 131817 194587 213418 263634 320127 389174 583761 640254 746963 1167522 1362109 1493926 2240889 2724218 3307979 4086327 4481778 6615958 8172654 9923937 19847874 23155853 46311706 69467559 138935118