Search a number
-
+
2966912 = 27131783
BaseRepresentation
bin1011010100010110000000
312120201211122
423110112000
51224420122
6143331412
734134614
oct13242600
95521748
102966912
1117470a3
12bb0b68
137cb590
14573344
153d9142
hex2d4580

2966912 has 32 divisors (see below), whose sum is σ = 6368880. Its totient is φ = 1368576.

The previous prime is 2966911. The next prime is 2966921. The reversal of 2966912 is 2196692.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966911) 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, 773 + ... + 2555.

22966912 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 2966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184440).

2966912 is an abundant number, since it is smaller than the sum of its proper divisors (3401968).

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

2966912 is a wasteful number, since it uses less digits than its factorization.

2966912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1798 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 2966912 is about 1722.4726412922. The cubic root of 2966912 is about 143.6927605759.

The spelling of 2966912 in words is "two million, nine hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 1783 3566 7132 14264 23179 28528 46358 57056 92716 114112 185432 228224 370864 741728 1483456 2966912