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138705435 = 32511793547
BaseRepresentation
bin10000100010001…
…11101000011011
3100122222222002100
420101013220123
5241002033220
621432534443
73302656011
oct1021075033
9318888070
10138705435
11713284a0
123a551423
132297602b
14145c88b1
15c29cd90
hex8447a1b

138705435 has 48 divisors (see below), whose sum is σ = 265674240. Its totient is φ = 66381120.

The previous prime is 138705409. The next prime is 138705449. The reversal of 138705435 is 534507831.

It is not a de Polignac number, because 138705435 - 25 = 138705403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138705435.

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, 37332 + ... + 40878.

It is an arithmetic number, because the mean of its divisors is an integer number (5534880).

Almost surely, 2138705435 is an apocalyptic number.

138705435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138705435 is a deficient number, since it is larger than the sum of its proper divisors (126968805).

138705435 is a wasteful number, since it uses less digits than its factorization.

138705435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 138705435 is about 11777.3271585704. The cubic root of 138705435 is about 517.6439703052.

The spelling of 138705435 in words is "one hundred thirty-eight million, seven hundred five thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 79 99 165 237 395 495 711 869 1185 2607 3547 3555 4345 7821 10641 13035 17735 31923 39017 39105 53205 117051 159615 195085 280213 351153 585255 840639 1401065 1755765 2521917 3082343 4203195 9247029 12609585 15411715 27741087 46235145 138705435