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5760720 = 243457127
BaseRepresentation
bin10101111110011011010000
3101211200020000
4111332123100
52433320340
6323250000
766652050
oct25763320
911750200
105760720
113285129
121b19900
131269114
14a9d560
1578bd30
hex57e6d0

5760720 has 200 divisors, whose sum is σ = 23046144. Its totient is φ = 1306368.

The previous prime is 5760719. The next prime is 5760749. The reversal of 5760720 is 270675.

5760720 is a `hidden beast` number, since 57 + 607 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45297 + ... + 45423.

Almost surely, 25760720 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 5760720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523072).

5760720 is an abundant number, since it is smaller than the sum of its proper divisors (17285424).

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

5760720 is a wasteful number, since it uses less digits than its factorization.

5760720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5760720 is about 2400.1499953128. The cubic root of 5760720 is about 179.2636585590.

The spelling of 5760720 in words is "five million, seven hundred sixty thousand, seven hundred twenty".