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2966016 = 2931931
BaseRepresentation
bin1011010100001000000000
312120200121110
423110020000
51224403031
6143323320
734132164
oct13241000
95520543
102966016
111746459
12bb0540
137cb051
14572ca4
153d8c46
hex2d4200

2966016 has 40 divisors (see below), whose sum is σ = 7905744. Its totient is φ = 988160.

The previous prime is 2966009. The next prime is 2966017. The reversal of 2966016 is 6106692.

2966016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2966017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 571 + ... + 2501.

22966016 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 2966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952872).

2966016 is an abundant number, since it is smaller than the sum of its proper divisors (4939728).

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

2966016 is an equidigital number, since it uses as much as digits as its factorization.

2966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2966016 is about 1722.2125304387. The cubic root of 2966016 is about 143.6782941681.

The spelling of 2966016 in words is "two million, nine hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1931 3862 5793 7724 11586 15448 23172 30896 46344 61792 92688 123584 185376 247168 370752 494336 741504 988672 1483008 2966016