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2835260 = 2251731269
BaseRepresentation
bin1010110100001100111100
312100001020122
422310030330
51211212020
6140434112
733046031
oct12641474
95301218
102835260
11166719a
12b48938
1378368c
1453b388
153b0125
hex2b433c

2835260 has 48 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 1029120.

The previous prime is 2835253. The next prime is 2835269. The reversal of 2835260 is 625382.

2835260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10406 + ... + 10674.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

22835260 is an apocalyptic number.

2835260 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 2835260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2835260 is an abundant number, since it is smaller than the sum of its proper divisors (3696580).

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

2835260 is a wasteful number, since it uses less digits than its factorization.

2835260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2835260 is about 1683.8230310814. The cubic root of 2835260 is about 141.5351459102.

The spelling of 2835260 in words is "two million, eight hundred thirty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 269 310 340 527 538 620 1054 1076 1345 2108 2635 2690 4573 5270 5380 8339 9146 10540 16678 18292 22865 33356 41695 45730 83390 91460 141763 166780 283526 567052 708815 1417630 2835260