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138662405 = 572737753
BaseRepresentation
bin10000100001111…
…01001000000101
3100122220210001122
420100331020011
5240444144110
621432003325
73302416400
oct1020751005
9318823048
10138662405
11712a9132
123a530545
132295c57b
14145b6d37
15c290255
hex843d205

138662405 has 24 divisors (see below), whose sum is σ = 196238232. Its totient is φ = 93768192.

The previous prime is 138662393. The next prime is 138662417. The reversal of 138662405 is 504266831.

It is an interprime number because it is at equal distance from previous prime (138662393) and next prime (138662417).

It can be written as a sum of positive squares in 4 ways, for example, as 59505796 + 79156609 = 7714^2 + 8897^2 .

It is not a de Polignac number, because 138662405 - 24 = 138662389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14009 + ... + 21761.

It is an arithmetic number, because the mean of its divisors is an integer number (8176593).

Almost surely, 2138662405 is an apocalyptic number.

It is an amenable number.

138662405 is a deficient number, since it is larger than the sum of its proper divisors (57575827).

138662405 is an equidigital number, since it uses as much as digits as its factorization.

138662405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7845 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 138662405 is about 11775.5002016899. The cubic root of 138662405 is about 517.5904359363.

It can be divided in two parts, 13866240 and 5, that multiplied together give a triangular number (69331200 = T11775).

The spelling of 138662405 in words is "one hundred thirty-eight million, six hundred sixty-two thousand, four hundred five".

Divisors: 1 5 7 35 49 73 245 365 511 2555 3577 7753 17885 38765 54271 271355 379897 565969 1899485 2829845 3961783 19808915 27732481 138662405