[go: up one dir, main page]

Search a number
-
+
6397875 = 325311247
BaseRepresentation
bin11000011001111110110011
3110001001020100
4120121332303
53114213000
6345043443
7105244461
oct30317663
913031210
106397875
11367a900
122186583
131430133
14bc7831
15865a00
hex619fb3

6397875 has 72 divisors (see below), whose sum is σ = 12946752. Its totient is φ = 3036000.

The previous prime is 6397871. The next prime is 6397891. The reversal of 6397875 is 5787936.

It is a happy number.

6397875 is a `hidden beast` number, since 639 + 7 + 8 + 7 + 5 = 666.

It is not a de Polignac number, because 6397875 - 22 = 6397871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a d-powerful number, because it can be written as 66 + 39 + 96 + 74 + 85 + 78 + 53 .

Its product of digits (317520) is a multiple of the sum of its prime factors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 6397875.

It is not an unprimeable number, because it can be changed into a prime (6397871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136102 + ... + 136148.

It is an arithmetic number, because the mean of its divisors is an integer number (179816).

Almost surely, 26397875 is an apocalyptic number.

6397875 is an abundant number, since it is smaller than the sum of its proper divisors (6548877).

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

6397875 is a wasteful number, since it uses less digits than its factorization.

6397875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 6397875 is about 2529.4021032647. The cubic root of 6397875 is about 185.6430023693.

The spelling of 6397875 in words is "six million, three hundred ninety-seven thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 47 55 75 99 121 125 141 165 225 235 275 363 375 423 495 517 605 705 825 1089 1125 1175 1375 1551 1815 2115 2475 2585 3025 3525 4125 4653 5445 5687 5875 7755 9075 10575 12375 12925 15125 17061 17625 23265 27225 28435 38775 45375 51183 52875 64625 85305 116325 136125 142175 193875 255915 426525 581625 710875 1279575 2132625 6397875