Search a number
-
+
5220400 = 245231421
BaseRepresentation
bin10011111010100000110000
3100211020001011
4103322200300
52314023100
6303520304
762241553
oct23724060
910736034
105220400
112a46189
1218b9094
13110a1c3
1499c69a
156d1bba
hex4fa830

5220400 has 60 divisors (see below), whose sum is σ = 12977344. Its totient is φ = 2016000.

The previous prime is 5220389. The next prime is 5220403. The reversal of 5220400 is 40225.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5220403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12190 + ... + 12610.

Almost surely, 25220400 is an apocalyptic number.

5220400 is a gapful number since it is divisible by the number (50) 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 5220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488672).

5220400 is an abundant number, since it is smaller than the sum of its proper divisors (7756944).

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

5220400 is a wasteful number, since it uses less digits than its factorization.

5220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 5220400 is about 2284.8194677042. The cubic root of 5220400 is about 173.4740802911.

Adding to 5220400 its reverse (40225), we get a palindrome (5260625).

The spelling of 5220400 in words is "five million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 421 496 620 775 842 1240 1550 1684 2105 2480 3100 3368 4210 6200 6736 8420 10525 12400 13051 16840 21050 26102 33680 42100 52204 65255 84200 104408 130510 168400 208816 261020 326275 522040 652550 1044080 1305100 2610200 5220400