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2682260 = 225731723
BaseRepresentation
bin1010001110110110010100
312001021100222
422032312110
51141313020
6133253512
731541000
oct12166624
95037328
102682260
111572249
12a94298
1372bb49
144db700
1537eb25
hex28ed94

2682260 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 827904.

The previous prime is 2682247. The next prime is 2682269. The reversal of 2682260 is 622862.

2682260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682269) 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 31 ways as a sum of consecutive naturals, for example, 116609 + ... + 116631.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

22682260 is an apocalyptic number.

2682260 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 2682260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2682260 is an abundant number, since it is smaller than the sum of its proper divisors (4575340).

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

2682260 is a wasteful number, since it uses less digits than its factorization.

2682260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2682260 is about 1637.7606662758. The cubic root of 2682260 is about 138.9420250611.

The spelling of 2682260 in words is "two million, six hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 49 68 70 85 92 98 115 119 140 161 170 196 230 238 245 322 340 343 391 460 476 490 595 644 686 782 805 833 980 1127 1190 1372 1564 1610 1666 1715 1955 2254 2380 2737 3220 3332 3430 3910 4165 4508 5474 5635 5831 6860 7820 7889 8330 10948 11270 11662 13685 15778 16660 19159 22540 23324 27370 29155 31556 38318 39445 54740 58310 76636 78890 95795 116620 134113 157780 191590 268226 383180 536452 670565 1341130 2682260