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2680632 = 2332311201
BaseRepresentation
bin1010001110011100111000
312001012010200
422032130320
51141240012
6133242200
731533153
oct12163470
95035120
102680632
111570aa9
12a93360
1372b196
144dac9a
1537e3dc
hex28e738

2680632 has 48 divisors (see below), whose sum is σ = 7500480. Its totient is φ = 864000.

The previous prime is 2680631. The next prime is 2680661. The reversal of 2680632 is 2360862.

2680632 is a `hidden beast` number, since 26 + 8 + 0 + 632 = 666.

2680632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2680596 and 2680605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680631) 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 11 ways as a sum of consecutive naturals, for example, 1632 + ... + 2832.

It is an arithmetic number, because the mean of its divisors is an integer number (156260).

22680632 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 2680632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750240).

2680632 is an abundant number, since it is smaller than the sum of its proper divisors (4819848).

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

2680632 is a wasteful number, since it uses less digits than its factorization.

2680632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2680632 is about 1637.2635707179. The cubic root of 2680632 is about 138.9139090451.

The spelling of 2680632 in words is "two million, six hundred eighty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1201 2232 2402 3603 4804 7206 9608 10809 14412 21618 28824 37231 43236 74462 86472 111693 148924 223386 297848 335079 446772 670158 893544 1340316 2680632