Search a number
-
+
7680870 = 2325312753
BaseRepresentation
bin11101010011001101100110
3112110020011200
4131103031212
53431241440
6432343330
7122200131
oct35231546
915406150
107680870
11437682a
1226a4b46
13178c0c2
14103d218
15a1ac30
hex753366

7680870 has 48 divisors (see below), whose sum is σ = 20621952. Its totient is φ = 1981440.

The previous prime is 7680863. The next prime is 7680877. The reversal of 7680870 is 780867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7680863) and next prime (7680877).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680877) 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 23 ways as a sum of consecutive naturals, for example, 1414 + ... + 4166.

It is an arithmetic number, because the mean of its divisors is an integer number (429624).

Almost surely, 27680870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7680870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10310976).

7680870 is an abundant number, since it is smaller than the sum of its proper divisors (12941082).

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

7680870 is a wasteful number, since it uses less digits than its factorization.

7680870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7680870 is about 2771.4382547695. The cubic root of 7680870 is about 197.3044156808.

The spelling of 7680870 in words is "seven million, six hundred eighty thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2753 2790 5506 8259 13765 16518 24777 27530 41295 49554 82590 85343 123885 170686 247770 256029 426715 512058 768087 853430 1280145 1536174 2560290 3840435 7680870