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2666328 = 233759269
BaseRepresentation
bin1010001010111101011000
312000110111220
422022331120
51140310303
6133052040
731443360
oct12127530
95013456
102666328
111561285
12a87020
13724812
144d59a0
1537a053
hex28af58

2666328 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 746112.

The previous prime is 2666309. The next prime is 2666381. The reversal of 2666328 is 8236662.

2666328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 9778 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

22666328 is an apocalyptic number.

2666328 is a gapful number since it is divisible by the number (28) 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 2666328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

2666328 is an abundant number, since it is smaller than the sum of its proper divisors (5109672).

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

2666328 is a wasteful number, since it uses less digits than its factorization.

2666328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 2666328 is about 1632.8894634971. The cubic root of 2666328 is about 138.6663841628. Note that the first 3 decimals are identical.

The spelling of 2666328 in words is "two million, six hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 269 354 413 472 538 708 807 826 1076 1239 1416 1614 1652 1883 2152 2478 3228 3304 3766 4956 5649 6456 7532 9912 11298 15064 15871 22596 31742 45192 47613 63484 95226 111097 126968 190452 222194 333291 380904 444388 666582 888776 1333164 2666328