Search a number
-
+
138305910 = 2356175577
BaseRepresentation
bin10000011111001…
…10000101110110
3100122020200001010
420033212011312
5240401242120
621420213050
73266403141
oct1017460566
9318220033
10138305910
1171085306
123a39a186
1322866222
1414523058
15c21e7e0
hex83e6176

138305910 has 32 divisors (see below), whose sum is σ = 337380192. Its totient is φ = 36276480.

The previous prime is 138305899. The next prime is 138305917. The reversal of 138305910 is 19503831.

It is a happy number.

138305910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138305917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35959 + ... + 39618.

It is an arithmetic number, because the mean of its divisors is an integer number (10543131).

Almost surely, 2138305910 is an apocalyptic number.

138305910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138305910 is an abundant number, since it is smaller than the sum of its proper divisors (199074282).

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

138305910 is a wasteful number, since it uses less digits than its factorization.

138305910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75648.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 138305910 is about 11760.3533110192. The cubic root of 138305910 is about 517.1464877772.

The spelling of 138305910 in words is "one hundred thirty-eight million, three hundred five thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 75577 151154 226731 377885 453462 755770 1133655 2267310 4610197 9220394 13830591 23050985 27661182 46101970 69152955 138305910