Search a number
-
+
2430020 = 225121501
BaseRepresentation
bin1001010001010001000100
311120110100202
421101101010
51110230040
6124030032
726440415
oct11212104
94513322
102430020
11140a78a
12992318
136710a8
1447380c
15330015
hex251444

2430020 has 12 divisors (see below), whose sum is σ = 5103084. Its totient is φ = 972000.

The previous prime is 2430013. The next prime is 2430047. The reversal of 2430020 is 200342.

It can be written as a sum of positive squares in 2 ways, for example, as 1098304 + 1331716 = 1048^2 + 1154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2429983 and 2430010.

It is an unprimeable number.

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, 60731 + ... + 60770.

It is an arithmetic number, because the mean of its divisors is an integer number (425257).

22430020 is an apocalyptic number.

2430020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430020 is an abundant number, since it is smaller than the sum of its proper divisors (2673064).

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

2430020 is a wasteful number, since it uses less digits than its factorization.

2430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121510 (or 121508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2430020 is about 1558.8521418018. The cubic root of 2430020 is about 134.4425112356.

Adding to 2430020 its reverse (200342), we get a palindrome (2630362).

The spelling of 2430020 in words is "two million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 121501 243002 486004 607505 1215010 2430020