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2305040 = 24528813
BaseRepresentation
bin1000110010110000010000
311100002220212
420302300100
51042230130
6121223252
725410143
oct10626020
94302825
102305040
1113348a1
12931b28
1362923a
1444005a
15307e95
hex232c10

2305040 has 20 divisors (see below), whose sum is σ = 5359404. Its totient is φ = 921984.

The previous prime is 2305027. The next prime is 2305049. The reversal of 2305040 is 405032.

It can be written as a sum of positive squares in 2 ways, for example, as 583696 + 1721344 = 764^2 + 1312^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14327 + ... + 14486.

22305040 is an apocalyptic number.

2305040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305040 is an abundant number, since it is smaller than the sum of its proper divisors (3054364).

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

2305040 is a wasteful number, since it uses less digits than its factorization.

2305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28826 (or 28820 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2305040 is about 1518.2358183102. The cubic root of 2305040 is about 132.0969596767.

The spelling of 2305040 in words is "two million, three hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28813 57626 115252 144065 230504 288130 461008 576260 1152520 2305040