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138864258 = 232132191239
BaseRepresentation
bin10000100011011…
…10011010000010
3100200022000221200
420101232122002
5241022124013
621440202030
73304220031
oct1021563202
9320260850
10138864258
1171426855
123a609316
1322a00400
141462a718
15c2cee73
hex846e682

138864258 has 72 divisors (see below), whose sum is σ = 328872960. Its totient is φ = 42325920.

The previous prime is 138864241. The next prime is 138864259. The reversal of 138864258 is 852468831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138864259) 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 35 ways as a sum of consecutive naturals, for example, 580903 + ... + 581141.

It is an arithmetic number, because the mean of its divisors is an integer number (4567680).

Almost surely, 2138864258 is an apocalyptic number.

138864258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138864258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164436480).

138864258 is an abundant number, since it is smaller than the sum of its proper divisors (190008702).

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

138864258 is a wasteful number, since it uses less digits than its factorization.

138864258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 138864258 is about 11784.0679733274. The cubic root of 138864258 is about 517.8414689563.

The spelling of 138864258 in words is "one hundred thirty-eight million, eight hundred sixty-four thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 191 234 239 338 382 478 507 573 717 1014 1146 1434 1521 1719 2151 2483 3042 3107 3438 4302 4966 6214 7449 9321 14898 18642 22347 27963 32279 40391 44694 45649 55926 64558 80782 91298 96837 121173 136947 193674 242346 273894 290511 363519 410841 581022 593437 727038 821682 1186874 1780311 3560622 5340933 7714681 10681866 15429362 23144043 46288086 69432129 138864258