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138010368 = 283712531
BaseRepresentation
bin10000011100111…
…01111100000000
3100121200122122010
420032131330000
5240312312433
621410012520
73264032406
oct1016357400
9317618563
10138010368
11709a3261
123a277140
1322791852
1414487476
15c1b1e63
hex839df00

138010368 has 72 divisors (see below), whose sum is σ = 372629376. Its totient is φ = 45337600.

The previous prime is 138010363. The next prime is 138010399. The reversal of 138010368 is 863010831.

138010368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138010363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53263 + ... + 55793.

It is an arithmetic number, because the mean of its divisors is an integer number (5175408).

Almost surely, 2138010368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186314688).

138010368 is an abundant number, since it is smaller than the sum of its proper divisors (234619008).

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

138010368 is an equidigital number, since it uses as much as digits as its factorization.

138010368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 138010368 is about 11747.7814075680. The cubic root of 138010368 is about 516.7778665034. Note that the first 3 decimals are identical.

The spelling of 138010368 in words is "one hundred thirty-eight million, ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 1136 1704 2272 2531 3408 4544 5062 6816 7593 9088 10124 13632 15186 18176 20248 27264 30372 40496 54528 60744 80992 121488 161984 179701 242976 323968 359402 485952 539103 647936 718804 971904 1078206 1437608 1943808 2156412 2875216 4312824 5750432 8625648 11500864 17251296 23001728 34502592 46003456 69005184 138010368