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2430116 = 2213172749
BaseRepresentation
bin1001010001010010100100
311120110111022
421101102210
51110230431
6124030312
726440613
oct11212244
94513438
102430116
11140a867
12992398
13671150
1447387a
1533007b
hex2514a4

2430116 has 24 divisors (see below), whose sum is σ = 4851000. Its totient is φ = 1055232.

The previous prime is 2430091. The next prime is 2430139. The reversal of 2430116 is 6110342.

It can be written as a sum of positive squares in 4 ways, for example, as 40000 + 2390116 = 200^2 + 1546^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 2430094 and 2430103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (202125).

22430116 is an apocalyptic number.

2430116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2430116 is a deficient number, since it is larger than the sum of its proper divisors (2420884).

2430116 is a wasteful number, since it uses less digits than its factorization.

2430116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2430116 is about 1558.8829333853. The cubic root of 2430116 is about 134.4442816341. Note that the first 3 decimals are identical.

Adding to 2430116 its reverse (6110342), we get a palindrome (8540458).

The spelling of 2430116 in words is "two million, four hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 884 2749 5498 10996 35737 46733 71474 93466 142948 186932 607529 1215058 2430116