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580480 = 275907
BaseRepresentation
bin10001101101110000000
31002111021021
42031232000
5122033410
620235224
74635235
oct2155600
91074237
10580480
1136713a
1223bb14
131742a4
1411178c
15b6eda
hex8db80

580480 has 32 divisors (see below), whose sum is σ = 1389240. Its totient is φ = 231936.

The previous prime is 580477. The next prime is 580487. The reversal of 580480 is 84085.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187 + ... + 1093.

2580480 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 580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694620).

580480 is an abundant number, since it is smaller than the sum of its proper divisors (808760).

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

580480 is an equidigital number, since it uses as much as digits as its factorization.

580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 580480 is about 761.8923808518. The cubic root of 580480 is about 83.4185084683.

The spelling of 580480 in words is "five hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 907 1814 3628 4535 7256 9070 14512 18140 29024 36280 58048 72560 116096 145120 290240 580480