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2946820 = 225147341
BaseRepresentation
bin1011001111011100000100
312112201021111
423033130010
51223244240
6143054404
734022212
oct13173404
95481244
102946820
111732a98
12ba1404
137c23a6
14569cb2
153d31ea
hex2cf704

2946820 has 12 divisors (see below), whose sum is σ = 6188364. Its totient is φ = 1178720.

The previous prime is 2946809. The next prime is 2946821. The reversal of 2946820 is 286492.

2946820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 1674436 = 1128^2 + 1294^2 .

It is a super-2 number, since 2×29468202 = 17367496224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2946821) 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 3 ways as a sum of consecutive naturals, for example, 73651 + ... + 73690.

It is an arithmetic number, because the mean of its divisors is an integer number (515697).

22946820 is an apocalyptic number.

2946820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2946820 is an abundant number, since it is smaller than the sum of its proper divisors (3241544).

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

2946820 is a wasteful number, since it uses less digits than its factorization.

2946820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147350 (or 147348 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2946820 is about 1716.6304203293. The cubic root of 2946820 is about 143.3676619897.

The spelling of 2946820 in words is "two million, nine hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 147341 294682 589364 736705 1473410 2946820