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2689668 = 223274713
BaseRepresentation
bin1010010000101010000100
312001122112100
422100222010
51142032133
6133352100
731601412
oct12205204
95048470
102689668
111577873
12a98630
13732327
145002b2
15381e13
hex290a84

2689668 has 18 divisors (see below), whose sum is σ = 6798974. Its totient is φ = 896544.

The previous prime is 2689667. The next prime is 2689679. The reversal of 2689668 is 8669862.

It can be written as a sum of positive squares in only one way, i.e., 2663424 + 26244 = 1632^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2689667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37321 + ... + 37392.

22689668 is an apocalyptic number.

It is an amenable number.

2689668 is an abundant number, since it is smaller than the sum of its proper divisors (4109306).

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

2689668 is a wasteful number, since it uses less digits than its factorization.

2689668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74723 (or 74718 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2689668 is about 1640.0207315763. The cubic root of 2689668 is about 139.0698198310.

The spelling of 2689668 in words is "two million, six hundred eighty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 74713 149426 224139 298852 448278 672417 896556 1344834 2689668