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2685816 = 23327732
BaseRepresentation
bin1010001111101101111000
312001110020200
422033231320
51141421231
6133322200
731554240
oct12175570
95043220
102685816
111574991
12a96360
13730653
144dcb20
15380be6
hex28fb78

2685816 has 72 divisors (see below), whose sum is σ = 8428680. Its totient is φ = 756864.

The previous prime is 2685803. The next prime is 2685817. The reversal of 2685816 is 6185862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36756 + ... + 36828.

It is an arithmetic number, because the mean of its divisors is an integer number (117065).

22685816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2685816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214340).

2685816 is an abundant number, since it is smaller than the sum of its proper divisors (5742864).

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

2685816 is a wasteful number, since it uses less digits than its factorization.

2685816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 85 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2685816 is about 1638.8459354070. The cubic root of 2685816 is about 139.0033986368.

It can be divided in two parts, 268 and 5816, that added together give a square (6084 = 782).

The spelling of 2685816 in words is "two million, six hundred eighty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1314 1533 1752 2044 2628 3066 4088 4599 5256 5329 6132 9198 10658 12264 15987 18396 21316 31974 36792 37303 42632 47961 63948 74606 95922 111909 127896 149212 191844 223818 298424 335727 383688 447636 671454 895272 1342908 2685816