Search a number
-
+
5313000 = 2335371123
BaseRepresentation
bin10100010001000111101000
3100222221001210
4110101013220
52330004000
6305513120
763105540
oct24210750
910887053
105313000
112aa9810
1219427a0
1311403b4
149c4320
156ee350
hex5111e8

5313000 has 256 divisors, whose sum is σ = 21565440. Its totient is φ = 1056000.

The previous prime is 5312999. The next prime is 5313041. The reversal of 5313000 is 3135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230989 + ... + 231011.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

Almost surely, 25313000 is an apocalyptic number.

5313000 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 5313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782720).

5313000 is an abundant number, since it is smaller than the sum of its proper divisors (16252440).

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

5313000 is a wasteful number, since it uses less digits than its factorization.

5313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 5313000 is about 2304.9945770001. The cubic root of 5313000 is about 174.4937751438.

Adding to 5313000 its reverse (3135), we get a palindrome (5316135).

The spelling of 5313000 in words is "five million, three hundred thirteen thousand".