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5760020 = 225741143
BaseRepresentation
bin10101111110010000010100
3101211122021002
4111332100110
52433310040
6323242432
766650030
oct25762024
911748232
105760020
113284652
121b19418
1312689c6
14a9d1c0
1578ba15
hex57e414

5760020 has 24 divisors (see below), whose sum is σ = 13824384. Its totient is φ = 1974816.

The previous prime is 5760011. The next prime is 5760071. The reversal of 5760020 is 200675.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5759974 and 5760001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20432 + ... + 20711.

It is an arithmetic number, because the mean of its divisors is an integer number (576016).

Almost surely, 25760020 is an apocalyptic number.

It is an amenable number.

5760020 is an abundant number, since it is smaller than the sum of its proper divisors (8064364).

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

5760020 is a wasteful number, since it uses less digits than its factorization.

5760020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41159 (or 41157 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5760020 is about 2400.0041666630. The cubic root of 5760020 is about 179.2563973345.

Subtracting from 5760020 its sum of digits (20), we obtain a square (5760000 = 24002).

Adding to 5760020 its reverse (200675), we get a palindrome (5960695).

The spelling of 5760020 in words is "five million, seven hundred sixty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 41143 82286 164572 205715 288001 411430 576002 822860 1152004 1440005 2880010 5760020