Search a number
-
+
138038257 = 7311733677
BaseRepresentation
bin10000011101001…
…00101111110001
3100121202001220001
420032210233301
5240314211012
621410350001
73264206620
oct1016445761
9317661801
10138038257
1170a12205
123a28b301
13227a1456
14144936b7
15c1ba357
hex83a4bf1

138038257 has 16 divisors (see below), whose sum is σ = 163832832. Its totient is φ = 113808960.

The previous prime is 138038207. The next prime is 138038273. The reversal of 138038257 is 752830831.

138038257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 138038257 - 223 = 129649649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138038207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35703 + ... + 39379.

It is an arithmetic number, because the mean of its divisors is an integer number (10239552).

Almost surely, 2138038257 is an apocalyptic number.

It is an amenable number.

138038257 is a deficient number, since it is larger than the sum of its proper divisors (25794575).

138038257 is a wasteful number, since it uses less digits than its factorization.

138038257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 138038257 is about 11748.9683376882. The cubic root of 138038257 is about 516.8126741473.

The spelling of 138038257 in words is "one hundred thirty-eight million, thirty-eight thousand, two hundred fifty-seven".

Divisors: 1 7 31 173 217 1211 3677 5363 25739 37541 113987 636121 797909 4452847 19719751 138038257