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2400107 is a prime number
BaseRepresentation
bin1001001001111101101011
311111221022212
421021331223
51103300412
6123235335
726254253
oct11117553
94457285
102400107
11139a266
12978b4b
136605a8
14466963
15326222
hex249f6b

2400107 has 2 divisors, whose sum is σ = 2400108. Its totient is φ = 2400106.

The previous prime is 2400089. The next prime is 2400109. The reversal of 2400107 is 7010042.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2400107 - 218 = 2137963 is a prime.

It is a super-2 number, since 2×24001072 = 11521027222898, which contains 22 as substring.

Together with 2400109, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2400091 and 2400100.

It is not a weakly prime, because it can be changed into another prime (2400109) 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 as a sum of consecutive naturals, namely, 1200053 + 1200054.

It is an arithmetic number, because the mean of its divisors is an integer number (1200054).

22400107 is an apocalyptic number.

2400107 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400107 is an equidigital number, since it uses as much as digits as its factorization.

2400107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 2400107 is about 1549.2278721996. The cubic root of 2400107 is about 133.8885796904. Note that the first 3 decimals are identical.

Adding to 2400107 its reverse (7010042), we get a palindrome (9410149).

The spelling of 2400107 in words is "two million, four hundred thousand, one hundred seven".