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2980240 = 24537253
BaseRepresentation
bin1011010111100110010000
312121102010021
423113212100
51230331430
6143513224
734221514
oct13274620
95542107
102980240
11175610a
12bb8814
13804673
14578144
153dd07a
hex2d7990

2980240 has 20 divisors (see below), whose sum is σ = 6929244. Its totient is φ = 1192064.

The previous prime is 2980231. The next prime is 2980261. The reversal of 2980240 is 420892.

2980240 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 2359296 + 620944 = 1536^2 + 788^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 18547 + ... + 18706.

22980240 is an apocalyptic number.

2980240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2980240 is an abundant number, since it is smaller than the sum of its proper divisors (3949004).

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

2980240 is a wasteful number, since it uses less digits than its factorization.

2980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37266 (or 37260 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2980240 is about 1726.3371628972. The cubic root of 2980240 is about 143.9076053386.

The spelling of 2980240 in words is "two million, nine hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 37253 74506 149012 186265 298024 372530 596048 745060 1490120 2980240