Search a number
-
+
2424620 = 22511103107
BaseRepresentation
bin1001001111111100101100
311120011221202
421033330230
51110041440
6123545032
726415602
oct11177454
94504852
102424620
111406720
1298b178
1366b7b3
14471872
1532d615
hex24ff2c

2424620 has 48 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 864960.

The previous prime is 2424619. The next prime is 2424629. The reversal of 2424620 is 264242.

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 = 2424592 and 2424601.

It is not an unprimeable number, because it can be changed into a prime (2424629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22607 + ... + 22713.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

22424620 is an apocalyptic number.

2424620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

2424620 is an abundant number, since it is smaller than the sum of its proper divisors (3236308).

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

2424620 is a wasteful number, since it uses less digits than its factorization.

2424620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2424620 is about 1557.1191348127. The cubic root of 2424620 is about 134.3428511517.

Adding to 2424620 its reverse (264242), we get a palindrome (2688862).

The spelling of 2424620 in words is "two million, four hundred twenty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 107 110 206 214 220 412 428 515 535 1030 1070 1133 1177 2060 2140 2266 2354 4532 4708 5665 5885 11021 11330 11770 22042 22660 23540 44084 55105 110210 121231 220420 242462 484924 606155 1212310 2424620