Search a number
-
+
6664680 = 2334511217
BaseRepresentation
bin11001011011000111101000
3110112121020000
4121123013220
53201232210
6354503000
7110435361
oct31330750
913477200
106664680
113842300
122294a60
1314c46c9
14c56b68
158b9ac0
hex65b1e8

6664680 has 240 divisors, whose sum is σ = 26070660. Its totient is φ = 1520640.

The previous prime is 6664667. The next prime is 6664711. The reversal of 6664680 is 864666.

It can be written as a sum of positive squares in 2 ways, for example, as 6625476 + 39204 = 2574^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 392032 + ... + 392048.

Almost surely, 26664680 is an apocalyptic number.

6664680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6664680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035330).

6664680 is an abundant number, since it is smaller than the sum of its proper divisors (19405980).

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

6664680 is a wasteful number, since it uses less digits than its factorization.

6664680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6664680 is about 2581.6041524602. The cubic root of 6664680 is about 188.1885086697.

It can be divided in two parts, 66 and 64680, that added together give a palindrome (64746).

The spelling of 6664680 in words is "six million, six hundred sixty-four thousand, six hundred eighty".