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138315460 = 22510168473
BaseRepresentation
bin10000011111010…
…00011011000100
3100122021011010211
420033220123010
5240402043320
621420325204
73266443033
oct1017503304
9318234124
10138315460
11710914a8
123a3a3804
132286a68a
141452671a
15c22255a
hex83e86c4

138315460 has 24 divisors (see below), whose sum is σ = 293342616. Its totient is φ = 54777600.

The previous prime is 138315439. The next prime is 138315469. The reversal of 138315460 is 64513831.

It can be written as a sum of positive squares in 4 ways, for example, as 19766916 + 118548544 = 4446^2 + 10888^2 .

It is not an unprimeable number, because it can be changed into a prime (138315469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32217 + ... + 36256.

It is an arithmetic number, because the mean of its divisors is an integer number (12222609).

Almost surely, 2138315460 is an apocalyptic number.

138315460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138315460 is an abundant number, since it is smaller than the sum of its proper divisors (155027156).

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

138315460 is a wasteful number, since it uses less digits than its factorization.

138315460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68583 (or 68581 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 138315460 is about 11760.7593292270. The cubic root of 138315460 is about 517.1583904628.

It can be divided in two parts, 13831 and 5460, that added together give a palindrome (19291).

The spelling of 138315460 in words is "one hundred thirty-eight million, three hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 68473 136946 273892 342365 684730 1369460 6915773 13831546 27663092 34578865 69157730 138315460