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138019860 = 223251126337
BaseRepresentation
bin10000011101000…
…00010000010100
3100121201010122200
420032200100110
5240313113420
621410124500
73264102156
oct1016402024
9317633580
10138019860
11709aa400
123a280730
1322795c74
141448aad6
15c1b4b90
hex83a0414

138019860 has 108 divisors (see below), whose sum is σ = 460252884. Its totient is φ = 33454080.

The previous prime is 138019841. The next prime is 138019867. The reversal of 138019860 is 68910831.

It can be written as a sum of positive squares in 2 ways, for example, as 48944016 + 89075844 = 6996^2 + 9438^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138019867) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18612 + ... + 24948.

Almost surely, 2138019860 is an apocalyptic number.

138019860 is a gapful number since it is divisible by the number (10) 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 138019860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230126442).

138019860 is an abundant number, since it is smaller than the sum of its proper divisors (322233024).

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

138019860 is a wasteful number, since it uses less digits than its factorization.

138019860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 138019860 is about 11748.1853917956. The cubic root of 138019860 is about 516.7897137850.

The spelling of 138019860 in words is "one hundred thirty-eight million, nineteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 6337 7260 10890 12674 19011 21780 25348 31685 38022 57033 63370 69707 76044 95055 114066 126740 139414 190110 209121 228132 278828 285165 348535 380220 418242 570330 627363 697070 766777 836484 1045605 1140660 1254726 1394140 1533554 2091210 2300331 2509452 3067108 3136815 3833885 4182420 4600662 6273630 6900993 7667770 9201324 11501655 12547260 13801986 15335540 23003310 27603972 34504965 46006620 69009930 138019860