Search a number
-
+
4720900 = 2252172777
BaseRepresentation
bin10010000000100100000100
322212211212011
4102000210010
52202032100
6245104004
755061362
oct22004404
98784764
104720900
112734978
1216b8004
13c93a42
148ac632
15633bba
hex480904

4720900 has 36 divisors (see below), whose sum is σ = 10850868. Its totient is φ = 1776640.

The previous prime is 4720889. The next prime is 4720901. The reversal of 4720900 is 90274.

It can be written as a sum of positive squares in 6 ways, for example, as 158404 + 4562496 = 398^2 + 2136^2 .

It is not an unprimeable number, because it can be changed into a prime (4720901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312 + ... + 3088.

It is an arithmetic number, because the mean of its divisors is an integer number (301413).

Almost surely, 24720900 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 4720900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425434).

4720900 is an abundant number, since it is smaller than the sum of its proper divisors (6129968).

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

4720900 is a wasteful number, since it uses less digits than its factorization.

4720900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 4720900 is about 2172.7632176563. The cubic root of 4720900 is about 167.7547915562.

The spelling of 4720900 in words is "four million, seven hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2777 5554 11108 13885 27770 47209 55540 69425 94418 138850 188836 236045 277700 472090 944180 1180225 2360450 4720900