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2825960 = 235314353
BaseRepresentation
bin1010110001111011101000
312022120111012
422301323220
51210412320
6140323052
733006644
oct12617350
95276435
102825960
111660205
12b43488
1377c387
14537c24
153ac4c5
hex2b1ee8

2825960 has 64 divisors (see below), whose sum is σ = 6842880. Its totient is φ = 1048320.

The previous prime is 2825959. The next prime is 2825981. The reversal of 2825960 is 695282.

It is an Ulam number.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53294 + ... + 53346.

It is an arithmetic number, because the mean of its divisors is an integer number (106920).

22825960 is an apocalyptic number.

2825960 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 2825960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421440).

2825960 is an abundant number, since it is smaller than the sum of its proper divisors (4016920).

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

2825960 is a wasteful number, since it uses less digits than its factorization.

2825960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2825960 is about 1681.0591899157. The cubic root of 2825960 is about 141.3802255303.

The spelling of 2825960 in words is "two million, eight hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 43 53 62 86 106 124 155 172 212 215 248 265 310 344 424 430 530 620 860 1060 1240 1333 1643 1720 2120 2279 2666 3286 4558 5332 6572 6665 8215 9116 10664 11395 13144 13330 16430 18232 22790 26660 32860 45580 53320 65720 70649 91160 141298 282596 353245 565192 706490 1412980 2825960