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5128400 = 245212821
BaseRepresentation
bin10011100100000011010000
3100122112211202
4103210003100
52303102100
6301530332
761406414
oct23440320
910575752
105128400
112993052
1218739a8
1310a7374
14976d44
156b47d5
hex4e40d0

5128400 has 30 divisors (see below), whose sum is σ = 12321942. Its totient is φ = 2051200.

The previous prime is 5128399. The next prime is 5128421. The reversal of 5128400 is 48215.

It can be written as a sum of positive squares in 3 ways, for example, as 2704 + 5125696 = 52^2 + 2264^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6011 + ... + 6810.

Almost surely, 25128400 is an apocalyptic number.

5128400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5128400 is an abundant number, since it is smaller than the sum of its proper divisors (7193542).

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

5128400 is a wasteful number, since it uses less digits than its factorization.

5128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12839 (or 12828 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 5128400 is about 2264.5970944077. The cubic root of 5128400 is about 172.4489802206.

The spelling of 5128400 in words is "five million, one hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 12821 25642 51284 64105 102568 128210 205136 256420 320525 512840 641050 1025680 1282100 2564200 5128400