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5128200 = 23325271137
BaseRepresentation
bin10011100100000000001000
3100122112120100
4103210000020
52303100300
6301525400
761406010
oct23440010
910575510
105128200
112992990
121873860
1310a724c
14976c40
156b4700
hex4e4008

5128200 has 288 divisors, whose sum is σ = 22052160. Its totient is φ = 1036800.

The previous prime is 5128153. The next prime is 5128213. The reversal of 5128200 is 28215.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138582 + ... + 138618.

It is an arithmetic number, because the mean of its divisors is an integer number (76570).

Almost surely, 25128200 is an apocalyptic number.

5128200 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 5128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026080).

5128200 is an abundant number, since it is smaller than the sum of its proper divisors (16923960).

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

5128200 is a wasteful number, since it uses less digits than its factorization.

5128200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5128200 is about 2264.5529360119. The cubic root of 5128200 is about 172.4467384399.

The spelling of 5128200 in words is "five million, one hundred twenty-eight thousand, two hundred".