Search a number
-
+
6205680 = 2433513217
BaseRepresentation
bin10111101011000011110000
3102200021121000
4113223003300
53042040210
6341002000
7103514235
oct27530360
912607530
106205680
113559468
1220b3300
131393800
14b7778c
15828ac0
hex5eb0f0

6205680 has 240 divisors, whose sum is σ = 24507360. Its totient is φ = 1437696.

The previous prime is 6205669. The next prime is 6205709. The reversal of 6205680 is 865026.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365032 + ... + 365048.

It is an arithmetic number, because the mean of its divisors is an integer number (102114).

Almost surely, 26205680 is an apocalyptic number.

6205680 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 6205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253680).

6205680 is an abundant number, since it is smaller than the sum of its proper divisors (18301680).

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

6205680 is a wasteful number, since it uses less digits than its factorization.

6205680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6205680 is about 2491.1202299367. The cubic root of 6205680 is about 183.7651382780.

The spelling of 6205680 in words is "six million, two hundred five thousand, six hundred eighty".