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2985040 = 24537313
BaseRepresentation
bin1011011000110001010000
312121122201001
423120301100
51231010130
6143551344
734241512
oct13306120
95548631
102985040
111759783
12bbb554
138068c6
14579bb2
153de6ca
hex2d8c50

2985040 has 20 divisors (see below), whose sum is σ = 6940404. Its totient is φ = 1193984.

The previous prime is 2985029. The next prime is 2985061. The reversal of 2985040 is 405892.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 698896 = 1512^2 + 836^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18577 + ... + 18736.

22985040 is an apocalyptic number.

2985040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2985040 is an abundant number, since it is smaller than the sum of its proper divisors (3955364).

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

2985040 is a wasteful number, since it uses less digits than its factorization.

2985040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37326 (or 37320 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2985040 is about 1727.7268302599. The cubic root of 2985040 is about 143.9848235035.

It can be divided in two parts, 29850 and 40, that added together give a triangular number (29890 = T244).

The spelling of 2985040 in words is "two million, nine hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 37313 74626 149252 186565 298504 373130 597008 746260 1492520 2985040