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5321900 = 2252192801
BaseRepresentation
bin10100010011010010101100
3101000101021102
4110103102230
52330300100
6310022232
763143513
oct24232254
911011242
105321900
113005471
121947978
13114446c
149c767a
15701cd5
hex5134ac

5321900 has 36 divisors (see below), whose sum is σ = 12160680. Its totient is φ = 2016000.

The previous prime is 5321891. The next prime is 5321903. The reversal of 5321900 is 91235.

It is a super-2 number, since 2×53219002 = 56645239220000, which contains 22 as substring.

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5321903) 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, 500 + ... + 3300.

Almost surely, 25321900 is an apocalyptic number.

5321900 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 5321900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080340).

5321900 is an abundant number, since it is smaller than the sum of its proper divisors (6838780).

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

5321900 is a wasteful number, since it uses less digits than its factorization.

5321900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2827 counting only the distinct ones).

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

The square root of 5321900 is about 2306.9243594015. The cubic root of 5321900 is about 174.5911544176.

The spelling of 5321900 in words is "five million, three hundred twenty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 2801 5602 11204 14005 28010 53219 56020 70025 106438 140050 212876 266095 280100 532190 1064380 1330475 2660950 5321900