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138349785 = 3572414591
BaseRepresentation
bin10000011111100…
…00110011011001
3100122022220020010
420033300303121
5240404143120
621421152133
73266645100
oct1017606331
9318286203
10138349785
1171105272
123a3bb649
13228801a2
1414535037
15c22c7e0
hex83f0cd9

138349785 has 48 divisors (see below), whose sum is σ = 263837952. Its totient is φ = 61689600.

The previous prime is 138349747. The next prime is 138349789. The reversal of 138349785 is 587943831.

138349785 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138349785 - 29 = 138349273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138349789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27840 + ... + 32430.

It is an arithmetic number, because the mean of its divisors is an integer number (5496624).

Almost surely, 2138349785 is an apocalyptic number.

138349785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138349785 is a deficient number, since it is larger than the sum of its proper divisors (125488167).

138349785 is a wasteful number, since it uses less digits than its factorization.

138349785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4647 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 138349785 is about 11762.2185407346. The cubic root of 138349785 is about 517.2011670585.

The spelling of 138349785 in words is "one hundred thirty-eight million, three hundred forty-nine thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 41 49 105 123 147 205 245 287 615 735 861 1435 2009 4305 4591 6027 10045 13773 22955 30135 32137 68865 96411 160685 188231 224959 482055 564693 674877 941155 1124795 1317617 2823465 3374385 3952851 6588085 9223319 19764255 27669957 46116595 138349785