Search a number
-
+
138797973 = 3229531793
BaseRepresentation
bin10000100010111…
…10001110010101
3100200011200000200
420101132032111
5241013013343
621434531113
73303522546
oct1021361625
9320150020
10138797973
1171390a76
123a596a99
13229a91a2
14146104cd
15c2ba4d3
hex845e395

138797973 has 12 divisors (see below), whose sum is σ = 207399660. Its totient is φ = 89341056.

The previous prime is 138797969. The next prime is 138797977. The reversal of 138797973 is 379797831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138797969) and next prime (138797977).

It can be written as a sum of positive squares in 2 ways, for example, as 24029604 + 114768369 = 4902^2 + 10713^2 .

It is not a de Polignac number, because 138797973 - 22 = 138797969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138797977) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 265636 + ... + 266157.

It is an arithmetic number, because the mean of its divisors is an integer number (17283305).

Almost surely, 2138797973 is an apocalyptic number.

It is an amenable number.

138797973 is a deficient number, since it is larger than the sum of its proper divisors (68601687).

138797973 is a wasteful number, since it uses less digits than its factorization.

138797973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531828 (or 531825 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The square root of 138797973 is about 11781.2551538450. The cubic root of 138797973 is about 517.7590609385.

The spelling of 138797973 in words is "one hundred thirty-eight million, seven hundred ninety-seven thousand, nine hundred seventy-three".

Divisors: 1 3 9 29 87 261 531793 1595379 4786137 15421997 46265991 138797973