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2400007 = 67113317
BaseRepresentation
bin1001001001111100000111
311111221012011
421021330013
51103300012
6123235051
726254051
oct11117407
94457164
102400007
11139a185
12978a87
1366052c
144668d1
153261a7
hex249f07

2400007 has 8 divisors (see below), whose sum is σ = 2465136. Its totient is φ = 2335872.

The previous prime is 2400001. The next prime is 2400019. The reversal of 2400007 is 7000042.

2400007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2400007 is a prime.

It is a Duffinian number.

2400007 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2400007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400001) 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 7 ways as a sum of consecutive naturals, for example, 7413 + ... + 7729.

It is an arithmetic number, because the mean of its divisors is an integer number (308142).

22400007 is an apocalyptic number.

2400007 is a deficient number, since it is larger than the sum of its proper divisors (65129).

2400007 is a wasteful number, since it uses less digits than its factorization.

2400007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497.

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 2400007 is about 1549.1955977216. The cubic root of 2400007 is about 133.8867201838.

Adding to 2400007 its reverse (7000042), we get a palindrome (9400049).

The spelling of 2400007 in words is "two million, four hundred thousand, seven".

Divisors: 1 67 113 317 7571 21239 35821 2400007