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138893244 = 223721991187
BaseRepresentation
bin10000100011101…
…01011110111100
3100200100111201020
420101311132330
5241024040434
621440544140
73304400400
oct1021653674
9320314636
10138893244
1171446606
123a622050
1322a10669
1414637100
15c2d8849
hex84757bc

138893244 has 72 divisors (see below), whose sum is σ = 379209600. Its totient is φ = 39451104.

The previous prime is 138893243. The next prime is 138893263. The reversal of 138893244 is 442398831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 138893196 and 138893205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138893243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116419 + ... + 117605.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2138893244 is an apocalyptic number.

138893244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138893244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

138893244 is an abundant number, since it is smaller than the sum of its proper divisors (240316356).

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

138893244 is a wasteful number, since it uses less digits than its factorization.

138893244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1398 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 138893244 is about 11785.2977900433. The cubic root of 138893244 is about 517.8774972062.

The spelling of 138893244 in words is "one hundred thirty-eight million, eight hundred ninety-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 199 294 398 588 597 796 1187 1194 1393 2374 2388 2786 3561 4179 4748 5572 7122 8309 8358 9751 14244 16618 16716 19502 24927 29253 33236 39004 49854 58163 58506 99708 116326 117012 174489 232652 236213 348978 472426 697956 708639 944852 1417278 1653491 2834556 3306982 4960473 6613964 9920946 11574437 19841892 23148874 34723311 46297748 69446622 138893244