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2428540 = 225313917
BaseRepresentation
bin1001010000111001111100
311120101022221
421100321330
51110203130
6124015124
726433202
oct11207174
94511287
102428540
111409664
129914a4
1367050a
14473072
1532e87a
hex250e7c

2428540 has 24 divisors (see below), whose sum is σ = 5265792. Its totient is φ = 939840.

The previous prime is 2428529. The next prime is 2428541. The reversal of 2428540 is 458242.

It is a happy number.

2428540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428541) 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 7 ways as a sum of consecutive naturals, for example, 1339 + ... + 2578.

It is an arithmetic number, because the mean of its divisors is an integer number (219408).

22428540 is an apocalyptic number.

2428540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2428540 is an abundant number, since it is smaller than the sum of its proper divisors (2837252).

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

2428540 is a wasteful number, since it uses less digits than its factorization.

2428540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2428540 is about 1558.3773612319. The cubic root of 2428540 is about 134.4152116900.

The spelling of 2428540 in words is "two million, four hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 3917 7834 15668 19585 39170 78340 121427 242854 485708 607135 1214270 2428540