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BaseRepresentation
bin10101110011010110100000
3101202101000000
4111303112200
52430342420
6322300000
766402600
oct25632640
911671000
105715360
113254042
121ab7600
131251591
14a8ac00
1577d690
hex5735a0

5715360 has 252 divisors, whose sum is σ = 23549778. Its totient is φ = 1306368.

The previous prime is 5715343. The next prime is 5715373. The reversal of 5715360 is 635175.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 571536 = 2268^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 816477 + ... + 816483.

Almost surely, 25715360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11774889).

5715360 is an abundant number, since it is smaller than the sum of its proper divisors (17834418).

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

5715360 is an equidigital number, since it uses as much as digits as its factorization.

5715360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5715360 is about 2390.6819110873. The cubic root of 5715360 is about 178.7919099083.

The spelling of 5715360 in words is "five million, seven hundred fifteen thousand, three hundred sixty".