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2868320 = 255713197
BaseRepresentation
bin1010111100010001100000
312101201121002
422330101200
51213241240
6141251132
733244310
oct12742140
95351532
102868320
11168a014
12b63aa8
13795740
14549440
153b9d15
hex2bc460

2868320 has 96 divisors (see below), whose sum is σ = 8382528. Its totient is φ = 903168.

The previous prime is 2868293. The next prime is 2868323. The reversal of 2868320 is 238682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14462 + ... + 14658.

It is an arithmetic number, because the mean of its divisors is an integer number (87318).

22868320 is an apocalyptic number.

2868320 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 2868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191264).

2868320 is an abundant number, since it is smaller than the sum of its proper divisors (5514208).

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

2868320 is a wasteful number, since it uses less digits than its factorization.

2868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2868320 is about 1693.6115257048. The cubic root of 2868320 is about 142.0831358708.

The spelling of 2868320 in words is "two million, eight hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 197 208 224 260 280 364 394 416 455 520 560 728 788 910 985 1040 1120 1379 1456 1576 1820 1970 2080 2561 2758 2912 3152 3640 3940 5122 5516 6304 6895 7280 7880 10244 11032 12805 13790 14560 15760 17927 20488 22064 25610 27580 31520 35854 40976 44128 51220 55160 71708 81952 89635 102440 110320 143416 179270 204880 220640 286832 358540 409760 573664 717080 1434160 2868320