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138359988 = 223413107307
BaseRepresentation
bin10000011111100…
…11010010110100
3100122100102020000
420033303102310
5240410004423
621421311300
73300016614
oct1017632264
9318312200
10138359988
11711119a8
123a405530
1322884a20
1414538a44
15c230843
hex83f34b4

138359988 has 120 divisors (see below), whose sum is σ = 394444512. Its totient is φ = 42037056.

The previous prime is 138359959. The next prime is 138359993. The reversal of 138359988 is 889953831.

138359988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1866240) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 450531 + ... + 450837.

Almost surely, 2138359988 is an apocalyptic number.

138359988 is a gapful number since it is divisible by the number (18) 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 138359988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197222256).

138359988 is an abundant number, since it is smaller than the sum of its proper divisors (256084524).

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

138359988 is a wasteful number, since it uses less digits than its factorization.

138359988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

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

The square root of 138359988 is about 11762.6522519371. The cubic root of 138359988 is about 517.2138809050.

The spelling of 138359988 in words is "one hundred thirty-eight million, three hundred fifty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 107 108 117 156 162 214 234 307 321 324 351 428 468 614 642 702 921 963 1053 1228 1284 1391 1404 1842 1926 2106 2763 2782 2889 3684 3852 3991 4173 4212 5526 5564 5778 7982 8289 8346 8667 11052 11556 11973 12519 15964 16578 16692 17334 23946 24867 25038 32849 33156 34668 35919 37557 47892 49734 50076 65698 71838 75114 98547 99468 107757 112671 131396 143676 150228 197094 215514 225342 295641 323271 394188 427037 431028 450684 591282 646542 854074 886923 1182564 1281111 1293084 1708148 1773846 2562222 2660769 3547692 3843333 5124444 5321538 7686666 10643076 11529999 15373332 23059998 34589997 46119996 69179994 138359988