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138285405 = 32517532
BaseRepresentation
bin10000011111000…
…01000101011101
3100122012121220200
420033201011131
5240400113110
621415534113
73266256306
oct1017410535
9318177820
10138285405
1171070965
123a38a339
1322859aab
14145197ad
15c2186c0
hex83e115d

138285405 has 18 divisors (see below), whose sum is σ = 239831514. Its totient is φ = 73710144.

The previous prime is 138285397. The next prime is 138285419. The reversal of 138285405 is 504582831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11655396 + 126630009 = 3414^2 + 11253^2 .

It is not a de Polignac number, because 138285405 - 23 = 138285397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138285405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78009 + ... + 79761.

It is an arithmetic number, because the mean of its divisors is an integer number (13323973).

Almost surely, 2138285405 is an apocalyptic number.

138285405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138285405 is a deficient number, since it is larger than the sum of its proper divisors (101546109).

138285405 is an frugal number, since it uses more digits than its factorization.

138285405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 138285405 is about 11759.4814936714. The cubic root of 138285405 is about 517.1209294266.

The spelling of 138285405 in words is "one hundred thirty-eight million, two hundred eighty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 45 1753 5259 8765 15777 26295 78885 3073009 9219027 15365045 27657081 46095135 138285405