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2420424 = 233233617
BaseRepresentation
bin1001001110111011001000
311112222012100
421032323020
51104423144
6123513400
726400426
oct11167310
94488170
102420424
111403556
12988860
13669906
14470116
1532c269
hex24eec8

2420424 has 24 divisors (see below), whose sum is σ = 6555510. Its totient is φ = 806784.

The previous prime is 2420423. The next prime is 2420459. The reversal of 2420424 is 4240242.

2420424 is a `hidden beast` number, since 242 + 0 + 424 = 666.

2420424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2340900 + 79524 = 1530^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2420397 and 2420406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420423) 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 5 ways as a sum of consecutive naturals, for example, 16737 + ... + 16880.

22420424 is an apocalyptic number.

2420424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2420424 is an abundant number, since it is smaller than the sum of its proper divisors (4135086).

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

2420424 is a wasteful number, since it uses less digits than its factorization.

2420424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33629 (or 33622 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2420424 is about 1555.7711914032. The cubic root of 2420424 is about 134.2653093659.

Adding to 2420424 its reverse (4240242), we get a palindrome (6660666).

The spelling of 2420424 in words is "two million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 33617 67234 100851 134468 201702 268936 302553 403404 605106 806808 1210212 2420424