Search a number
-
+
2580424 = 237115971
BaseRepresentation
bin1001110101111111001000
311212002200021
421311333020
51130033144
6131150224
730635050
oct11657710
94762607
102580424
111502790
12a45374
136c46a2
144b2560
1535e884
hex275fc8

2580424 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 974400.

The previous prime is 2580421. The next prime is 2580443. The reversal of 2580424 is 4240852.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2580421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36309 + ... + 36379.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22580424 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 2580424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2580424 is an abundant number, since it is smaller than the sum of its proper divisors (3640376).

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

2580424 is a wasteful number, since it uses less digits than its factorization.

2580424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2580424 is about 1606.3698204336. The cubic root of 2580424 is about 137.1609099086.

The spelling of 2580424 in words is "two million, five hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 59 71 77 88 118 142 154 236 284 308 413 472 497 568 616 649 781 826 994 1298 1562 1652 1988 2596 3124 3304 3976 4189 4543 5192 5467 6248 8378 9086 10934 16756 18172 21868 29323 33512 36344 43736 46079 58646 92158 117292 184316 234584 322553 368632 645106 1290212 2580424