Search a number
-
+
5221920 = 2535112343
BaseRepresentation
bin10011111010111000100000
3100211022010110
4103322320200
52314100140
6303531320
762246154
oct23727040
910738113
105221920
112a47340
1218b9b40
13110aac2
1499d064
156d2380
hex4fae20

5221920 has 192 divisors, whose sum is σ = 19160064. Its totient is φ = 1182720.

The previous prime is 5221891. The next prime is 5221927. The reversal of 5221920 is 291225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5221927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121419 + ... + 121461.

It is an arithmetic number, because the mean of its divisors is an integer number (99792).

Almost surely, 25221920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580032).

5221920 is an abundant number, since it is smaller than the sum of its proper divisors (13938144).

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

5221920 is a wasteful number, since it uses less digits than its factorization.

5221920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5221920 is about 2285.1520737141. The cubic root of 5221920 is about 173.4909152089.

It can be divided in two parts, 522 and 1920, that added together give a palindrome (2442).

The spelling of 5221920 in words is "five million, two hundred twenty-one thousand, nine hundred twenty".