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5312900 = 225253129
BaseRepresentation
bin10100010001000110000100
3100222220221002
4110101012010
52330003100
6305512432
763105335
oct24210604
910886832
105312900
112aa972a
121942718
131140338
149c428c
156ee2d5
hex511184

5312900 has 18 divisors (see below), whose sum is σ = 11529210. Its totient is φ = 2125120.

The previous prime is 5312897. The next prime is 5312911. The reversal of 5312900 is 92135.

It can be written as a sum of positive squares in 3 ways, for example, as 1085764 + 4227136 = 1042^2 + 2056^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26465 + ... + 26664.

Almost surely, 25312900 is an apocalyptic number.

5312900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5312900 is an abundant number, since it is smaller than the sum of its proper divisors (6216310).

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

5312900 is a wasteful number, since it uses less digits than its factorization.

5312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53143 (or 53136 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 5312900 is about 2304.9728848731. The cubic root of 5312900 is about 174.4926803770.

The spelling of 5312900 in words is "five million, three hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 53129 106258 212516 265645 531290 1062580 1328225 2656450 5312900