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2430920 = 23560773
BaseRepresentation
bin1001010001011111001000
311120111121002
421101133020
51110242140
6124034132
726443142
oct11213710
94514532
102430920
111410428
12992948
1367161b
14473c92
15330415
hex2517c8

2430920 has 16 divisors (see below), whose sum is σ = 5469660. Its totient is φ = 972352.

The previous prime is 2430913. The next prime is 2430929. The reversal of 2430920 is 290342.

It can be written as a sum of positive squares in 2 ways, for example, as 2390116 + 40804 = 1546^2 + 202^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2430892 and 2430901.

It is not an unprimeable number, because it can be changed into a prime (2430929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30347 + ... + 30426.

22430920 is an apocalyptic number.

2430920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430920 is an abundant number, since it is smaller than the sum of its proper divisors (3038740).

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

2430920 is a wasteful number, since it uses less digits than its factorization.

2430920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60784 (or 60780 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2430920 is about 1559.1407890245. The cubic root of 2430920 is about 134.4591068912.

The spelling of 2430920 in words is "two million, four hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 60773 121546 243092 303865 486184 607730 1215460 2430920