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2612260 = 225747397
BaseRepresentation
bin1001111101110000100100
311220201100101
421331300210
51132043020
6131553444
731126630
oct11756044
94821311
102612260
1115246a2
12a5b884
13706021
144bddc0
1536900a
hex27dc24

2612260 has 48 divisors (see below), whose sum is σ = 6418944. Its totient is φ = 874368.

The previous prime is 2612257. The next prime is 2612287. The reversal of 2612260 is 622162.

2612260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 6382 + ... + 6778.

It is an arithmetic number, because the mean of its divisors is an integer number (133728).

22612260 is an apocalyptic number.

2612260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209472).

2612260 is an abundant number, since it is smaller than the sum of its proper divisors (3806684).

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

2612260 is a wasteful number, since it uses less digits than its factorization.

2612260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2612260 is about 1616.2487432323. The cubic root of 2612260 is about 137.7226804978.

The spelling of 2612260 in words is "two million, six hundred twelve thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 397 470 658 794 940 1316 1588 1645 1985 2779 3290 3970 5558 6580 7940 11116 13895 18659 27790 37318 55580 74636 93295 130613 186590 261226 373180 522452 653065 1306130 2612260