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2160468 = 223260013
BaseRepresentation
bin1000001111011101010100
311001202121100
420033131110
51023113333
6114150100
724235512
oct10173524
94052540
102160468
111246212
12882330
135a84ab
144034b2
152ca213
hex20f754

2160468 has 18 divisors (see below), whose sum is σ = 5461274. Its totient is φ = 720144.

The previous prime is 2160463. The next prime is 2160469. The reversal of 2160468 is 8640612.

2160468 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 only one way, i.e., 2022084 + 138384 = 1422^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160461) 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 5 ways as a sum of consecutive naturals, for example, 29971 + ... + 30042.

22160468 is an apocalyptic number.

It is an amenable number.

2160468 is an abundant number, since it is smaller than the sum of its proper divisors (3300806).

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

2160468 is a wasteful number, since it uses less digits than its factorization.

2160468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60023 (or 60018 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2160468 is about 1469.8530538799. The cubic root of 2160468 is about 129.2754166114.

It can be divided in two parts, 2160 and 468, that added together give a triangular number (2628 = T72).

The spelling of 2160468 in words is "two million, one hundred sixty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 60013 120026 180039 240052 360078 540117 720156 1080234 2160468