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2895040 = 26583109
BaseRepresentation
bin1011000010110011000000
312110002020201
423002303000
51220120130
6142014544
733415231
oct13026300
95402221
102895040
1116a80a5
12b77454
137a4955
14555088
153c2bca
hex2c2cc0

2895040 has 56 divisors (see below), whose sum is σ = 7040880. Its totient is φ = 1133568.

The previous prime is 2895037. The next prime is 2895047. The reversal of 2895040 is 405982.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2895047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26506 + ... + 26614.

It is an arithmetic number, because the mean of its divisors is an integer number (125730).

22895040 is an apocalyptic number.

2895040 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 2895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520440).

2895040 is an abundant number, since it is smaller than the sum of its proper divisors (4145840).

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

2895040 is a wasteful number, since it uses less digits than its factorization.

2895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2895040 is about 1701.4817072187. The cubic root of 2895040 is about 142.5229674686.

It can be divided in two parts, 289 and 5040, that added together give a square (5329 = 732).

The spelling of 2895040 in words is "two million, eight hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 109 160 166 218 320 332 415 436 545 664 830 872 1090 1328 1660 1744 2180 2656 3320 3488 4360 5312 6640 6976 8720 9047 13280 17440 18094 26560 34880 36188 45235 72376 90470 144752 180940 289504 361880 579008 723760 1447520 2895040