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2685120 = 26352797
BaseRepresentation
bin1010001111100011000000
312001102021220
422033203000
51141410440
6133315040
731552224
oct12174300
95042256
102685120
111574409
12a95a80
13730239
144dc784
153808d0
hex28f8c0

2685120 has 56 divisors (see below), whose sum is σ = 8528304. Its totient is φ = 715776.

The previous prime is 2685113. The next prime is 2685121. The reversal of 2685120 is 215862.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2685121) 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, 439 + ... + 2358.

22685120 is an apocalyptic number.

2685120 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 2685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264152).

2685120 is an abundant number, since it is smaller than the sum of its proper divisors (5843184).

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

2685120 is a wasteful number, since it uses less digits than its factorization.

2685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2685120 is about 1638.6335771001. The cubic root of 2685120 is about 138.9913905266.

The spelling of 2685120 in words is "two million, six hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2797 5594 8391 11188 13985 16782 22376 27970 33564 41955 44752 55940 67128 83910 89504 111880 134256 167820 179008 223760 268512 335640 447520 537024 671280 895040 1342560 2685120