Search a number
-
+
7128765 = 325725361
BaseRepresentation
bin11011001100011010111101
3111102011211100
4123030122331
53311110030
6412443313
7114410400
oct33143275
914364740
107128765
114029a46
122479539
131627a07
14d37d37
1595c360
hex6cc6bd

7128765 has 72 divisors (see below), whose sum is σ = 14885208. Its totient is φ = 3144960.

The previous prime is 7128761. The next prime is 7128767. The reversal of 7128765 is 5678217.

It can be written as a sum of positive squares in 4 ways, for example, as 127449 + 7001316 = 357^2 + 2646^2 .

It is not a de Polignac number, because 7128765 - 22 = 7128761 is a prime.

7128765 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7128761) 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, 116835 + ... + 116895.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

Almost surely, 27128765 is an apocalyptic number.

It is an amenable number.

7128765 is an abundant number, since it is smaller than the sum of its proper divisors (7756443).

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

7128765 is a wasteful number, since it uses less digits than its factorization.

7128765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 7128765 is about 2669.9747189814. The cubic root of 7128765 is about 192.4589444125.

The spelling of 7128765 in words is "seven million, one hundred twenty-eight thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 53 61 63 105 147 159 183 245 265 305 315 371 427 441 477 549 735 795 915 1113 1281 1855 2135 2205 2385 2597 2745 2989 3233 3339 3843 5565 6405 7791 8967 9699 12985 14945 16165 16695 19215 22631 23373 26901 29097 38955 44835 48495 67893 113155 116865 134505 145485 158417 203679 339465 475251 792085 1018395 1425753 2376255 7128765