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2580704 = 25741281
BaseRepresentation
bin1001110110000011100000
311212010001122
421312003200
51130040304
6131151412
730635630
oct11660340
94763048
102580704
111502a15
12a45568
136c4859
144b26c0
1535e9be
hex2760e0

2580704 has 48 divisors (see below), whose sum is σ = 5969376. Its totient is φ = 1075200.

The previous prime is 2580703. The next prime is 2580707. The reversal of 2580704 is 4070852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9044 + ... + 9324.

It is an arithmetic number, because the mean of its divisors is an integer number (124362).

22580704 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 2580704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984688).

2580704 is an abundant number, since it is smaller than the sum of its proper divisors (3388672).

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

2580704 is a wasteful number, since it uses less digits than its factorization.

2580704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2580704 is about 1606.4569711013. The cubic root of 2580704 is about 137.1658708072.

The spelling of 2580704 in words is "two million, five hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 281 287 328 562 574 656 1124 1148 1312 1967 2248 2296 3934 4496 4592 7868 8992 9184 11521 15736 23042 31472 46084 62944 80647 92168 161294 184336 322588 368672 645176 1290352 2580704