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2390960 = 2451121319
BaseRepresentation
bin1001000111101110110000
311111110210002
421013232300
51103002320
6123125132
726215505
oct11075660
94443702
102390960
111393400
129737a8
13659390
144634ac
15323675
hex247bb0

2390960 has 120 divisors (see below), whose sum is σ = 6926640. Its totient is φ = 760320.

The previous prime is 2390957. The next prime is 2390987. The reversal of 2390960 is 690932.

2390960 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 23 ways as a sum of consecutive naturals, for example, 125831 + ... + 125849.

It is an arithmetic number, because the mean of its divisors is an integer number (57722).

22390960 is an apocalyptic number.

2390960 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 2390960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463320).

2390960 is an abundant number, since it is smaller than the sum of its proper divisors (4535680).

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

2390960 is a wasteful number, since it uses less digits than its factorization.

2390960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 2390960 is about 1546.2729383909. The cubic root of 2390960 is about 133.7182764603.

The spelling of 2390960 in words is "two million, three hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 19 20 22 26 38 40 44 52 55 65 76 80 88 95 104 110 121 130 143 152 176 190 208 209 220 242 247 260 286 304 380 418 440 484 494 520 572 605 715 760 836 880 968 988 1040 1045 1144 1210 1235 1430 1520 1573 1672 1936 1976 2090 2288 2299 2420 2470 2717 2860 3146 3344 3952 4180 4598 4840 4940 5434 5720 6292 7865 8360 9196 9680 9880 10868 11440 11495 12584 13585 15730 16720 18392 19760 21736 22990 25168 27170 29887 31460 36784 43472 45980 54340 59774 62920 91960 108680 119548 125840 149435 183920 217360 239096 298870 478192 597740 1195480 2390960