Search a number
-
+
138628875 = 3537114801
BaseRepresentation
bin10000100001101…
…00111100001011
3100122212002001210
420100310330023
5240442111000
621431144203
73302216550
oct1020647413
9318762053
10138628875
1171285a20
123a515063
132294a228
14145a8a27
15c285350
hex8434f0b

138628875 has 64 divisors (see below), whose sum is σ = 287659008. Its totient is φ = 57600000.

The previous prime is 138628873. The next prime is 138628891. The reversal of 138628875 is 578826831.

It is not a de Polignac number, because 138628875 - 21 = 138628873 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138628873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26475 + ... + 31275.

It is an arithmetic number, because the mean of its divisors is an integer number (4494672).

Almost surely, 2138628875 is an apocalyptic number.

138628875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138628875 is an abundant number, since it is smaller than the sum of its proper divisors (149030133).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138628875 is a wasteful number, since it uses less digits than its factorization.

138628875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4827 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 138628875 is about 11774.0763968984. The cubic root of 138628875 is about 517.5487130041.

The spelling of 138628875 in words is "one hundred thirty-eight million, six hundred twenty-eight thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 165 175 231 275 375 385 525 825 875 1155 1375 1925 2625 4125 4801 5775 9625 14403 24005 28875 33607 52811 72015 100821 120025 158433 168035 264055 360075 369677 504105 600125 792165 840175 1109031 1320275 1800375 1848385 2520525 3960825 4200875 5545155 6601375 9241925 12602625 19804125 27725775 46209625 138628875