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580074 = 231121747
BaseRepresentation
bin10001101100111101010
31002110201020
42031213222
5122030244
620233310
74634115
oct2154752
91073636
10580074
11366900
1223b836
13174051
1411157c
15b6d19
hex8d9ea

580074 has 48 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 161920.

The previous prime is 580033. The next prime is 580079. The reversal of 580074 is 470085.

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 (580079) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12319 + ... + 12365.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2580074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

580074 is an abundant number, since it is smaller than the sum of its proper divisors (798870).

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

580074 is a wasteful number, since it uses less digits than its factorization.

580074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 580074 is about 761.6258924170. The cubic root of 580074 is about 83.3990557088.

The spelling of 580074 in words is "five hundred eighty thousand, seventy-four".

Divisors: 1 2 3 6 11 17 22 33 34 47 51 66 94 102 121 141 187 242 282 363 374 517 561 726 799 1034 1122 1551 1598 2057 2397 3102 4114 4794 5687 6171 8789 11374 12342 17061 17578 26367 34122 52734 96679 193358 290037 580074