Search a number
-
+
138960315 = 32513298191
BaseRepresentation
bin10000100100001…
…01110110111011
3100200110220201100
420102011312323
5241033212230
621442222443
73305100054
oct1022056673
9320426640
10138960315
1171491a3a
123a654a23
1322a35050
141465372b
15c2ed660
hex8485dbb

138960315 has 48 divisors (see below), whose sum is σ = 268369920. Its totient is φ = 66044160.

The previous prime is 138960253. The next prime is 138960323. The reversal of 138960315 is 513069831.

It is a happy number.

138960315 is a `hidden beast` number, since 1 + 38 + 9 + 603 + 15 = 666.

138960315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138960315 - 26 = 138960251 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138960315.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12870 + ... + 21060.

It is an arithmetic number, because the mean of its divisors is an integer number (5591040).

Almost surely, 2138960315 is an apocalyptic number.

138960315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138960315 is a deficient number, since it is larger than the sum of its proper divisors (129409605).

138960315 is a wasteful number, since it uses less digits than its factorization.

138960315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 138960315 is about 11788.1429835237. The cubic root of 138960315 is about 517.9608441256.

The spelling of 138960315 in words is "one hundred thirty-eight million, nine hundred sixty thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1885 3393 5655 8191 16965 24573 40955 73719 106483 122865 237539 319449 368595 532415 712617 958347 1187695 1597245 2137851 3088007 3563085 4791735 9264021 10689255 15440035 27792063 46320105 138960315