Search a number
-
+
138807744 = 2631037019
BaseRepresentation
bin10000100011000…
…00100111000000
3100200012011102120
420101200213000
5241013321434
621435044240
73303563205
oct1021404700
9320164376
10138807744
1171398349
123a5a0680
13229b077a
1414613cac
15c2bd349
hex84609c0

138807744 has 56 divisors (see below), whose sum is σ = 370880640. Its totient is φ = 45813504.

The previous prime is 138807727. The next prime is 138807751. The reversal of 138807744 is 447708831.

It is a junction number, because it is equal to n+sod(n) for n = 138807696 and 138807705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16267 + ... + 23285.

Almost surely, 2138807744 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 138807744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185440320).

138807744 is an abundant number, since it is smaller than the sum of its proper divisors (232072896).

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

138807744 is a wasteful number, since it uses less digits than its factorization.

138807744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7137 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 138807744 is about 11781.6698307158. The cubic root of 138807744 is about 517.7712102635.

The spelling of 138807744 in words is "one hundred thirty-eight million, eight hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6592 7019 9888 14038 19776 21057 28076 42114 56152 84228 112304 168456 224608 336912 449216 673824 722957 1347648 1445914 2168871 2891828 4337742 5783656 8675484 11567312 17350968 23134624 34701936 46269248 69403872 138807744