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2666076 = 2237171867
BaseRepresentation
bin1010001010111001011100
312000110011120
422022321130
51140303301
6133050540
731442550
oct12127134
95013146
102666076
111561076
12a86a50
1372467a
144d5860
15379e36
hex28ae5c

2666076 has 48 divisors (see below), whose sum is σ = 7531776. Its totient is φ = 716544.

The previous prime is 2666071. The next prime is 2666087. The reversal of 2666076 is 6706662.

2666076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26660762 = 14215922475552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666071) 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, 495 + ... + 2361.

It is an arithmetic number, because the mean of its divisors is an integer number (156912).

22666076 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 2666076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765888).

2666076 is an abundant number, since it is smaller than the sum of its proper divisors (4865700).

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

2666076 is a wasteful number, since it uses less digits than its factorization.

2666076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2666076 is about 1632.8122978469. The cubic root of 2666076 is about 138.6620154793.

The spelling of 2666076 in words is "two million, six hundred sixty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1867 3734 5601 7468 11202 13069 22404 26138 31739 39207 52276 63478 78414 95217 126956 156828 190434 222173 380868 444346 666519 888692 1333038 2666076