Search a number
-
+
138694976 = 2671718211
BaseRepresentation
bin10000100010001…
…01000101000000
3100122222102201222
420101011011000
5241001214401
621432414212
73302613350
oct1021050500
9318872658
10138694976
1171320652
123a547368
1322971344
14145c4b60
15c299c1b
hex8445140

138694976 has 56 divisors (see below), whose sum is σ = 333061056. Its totient is φ = 55941120.

The previous prime is 138694973. The next prime is 138694987. The reversal of 138694976 is 679496831.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138694973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1490 + ... + 16721.

Almost surely, 2138694976 is an apocalyptic number.

138694976 is a gapful number since it is divisible by the number (16) 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 138694976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166530528).

138694976 is an abundant number, since it is smaller than the sum of its proper divisors (194366080).

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

138694976 is a wasteful number, since it uses less digits than its factorization.

138694976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18247 (or 18237 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 138694976 is about 11776.8831190600. The cubic root of 138694976 is about 517.6309591006.

The spelling of 138694976 in words is "one hundred thirty-eight million, six hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 18211 36422 72844 127477 145688 254954 291376 309587 509908 582752 619174 1019816 1165504 1238348 2039632 2167109 2476696 4079264 4334218 4953392 8158528 8668436 9906784 17336872 19813568 34673744 69347488 138694976