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138316374 = 23279711317
BaseRepresentation
bin10000011111010…
…00101001010110
3100122021012101200
420033220221112
5240402110444
621420333330
73266445510
oct1017505126
9318235350
10138316374
1171092159
123a3a4246
132286ac11
1414526bb0
15c222969
hex83e8a56

138316374 has 48 divisors (see below), whose sum is σ = 346059168. Its totient is φ = 39108096.

The previous prime is 138316357. The next prime is 138316393. The reversal of 138316374 is 473613831.

138316374 is a `hidden beast` number, since 13 + 8 + 3 + 1 + 637 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6564 + ... + 17880.

It is an arithmetic number, because the mean of its divisors is an integer number (7209566).

Almost surely, 2138316374 is an apocalyptic number.

138316374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138316374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173029584).

138316374 is an abundant number, since it is smaller than the sum of its proper divisors (207742794).

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

138316374 is a wasteful number, since it uses less digits than its factorization.

138316374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11429 (or 11426 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 138316374 is about 11760.7981871980. The cubic root of 138316374 is about 517.1595296021.

The spelling of 138316374 in words is "one hundred thirty-eight million, three hundred sixteen thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 11317 12222 22634 33951 67902 79219 101853 158438 203706 237657 475314 712971 1097749 1425942 2195498 3293247 6586494 7684243 9879741 15368486 19759482 23052729 46105458 69158187 138316374