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5720400 = 2432527227
BaseRepresentation
bin10101110100100101010000
3101202121220200
4111310211100
52431023100
6322335200
766423360
oct25644520
911677820
105720400
113257904
121aba500
13125396a
14a8c9a0
1577ee00
hex574950

5720400 has 180 divisors, whose sum is σ = 22787232. Its totient is φ = 1301760.

The previous prime is 5720389. The next prime is 5720401. The reversal of 5720400 is 40275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5720401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25087 + ... + 25313.

Almost surely, 25720400 is an apocalyptic number.

5720400 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 5720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393616).

5720400 is an abundant number, since it is smaller than the sum of its proper divisors (17066832).

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

5720400 is a wasteful number, since it uses less digits than its factorization.

5720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5720400 is about 2391.7357713594. The cubic root of 5720400 is about 178.8444494088.

Adding to 5720400 its reverse (40275), we get a palindrome (5760675).

The spelling of 5720400 in words is "five million, seven hundred twenty thousand, four hundred".