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138364965 = 3253074777
BaseRepresentation
bin10000011111101…
…00100000100101
3100122100200001100
420033310200211
5240410134330
621421350313
73300040254
oct1017644045
9318320040
10138364965
1171115712
123a408399
132288707b
141453a79b
15c232060
hex83f4825

138364965 has 12 divisors (see below), whose sum is σ = 239832684. Its totient is φ = 73794624.

The previous prime is 138364957. The next prime is 138364969. The reversal of 138364965 is 569463831.

It can be written as a sum of positive squares in 2 ways, for example, as 76632516 + 61732449 = 8754^2 + 7857^2 .

It is not a de Polignac number, because 138364965 - 23 = 138364957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3074777 = 138364965 / (1 + 3 + 8 + 3 + 6 + 4 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 138364965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138364969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1537344 + ... + 1537433.

It is an arithmetic number, because the mean of its divisors is an integer number (19986057).

Almost surely, 2138364965 is an apocalyptic number.

138364965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138364965 is a deficient number, since it is larger than the sum of its proper divisors (101467719).

138364965 is a wasteful number, since it uses less digits than its factorization.

138364965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074788 (or 3074785 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 138364965 is about 11762.8638094641. The cubic root of 138364965 is about 517.2200824634.

The spelling of 138364965 in words is "one hundred thirty-eight million, three hundred sixty-four thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 3074777 9224331 15373885 27672993 46121655 138364965