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1020440417 = 1451703267
BaseRepresentation
bin111100110100101…
…010111101100001
32122010010202002112
4330310222331201
54042213043132
6245131325105
734200412643
oct7464527541
92563122075
101020440417
11484014a97
122458b0795
13133545bc9
149974c893
155e8bcab2
hex3cd2af61

1020440417 has 4 divisors (see below), whose sum is σ = 1021145136. Its totient is φ = 1019735700.

The previous prime is 1020440413. The next prime is 1020440437. The reversal of 1020440417 is 7140440201.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1020440417 - 22 = 1020440413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020440392 and 1020440401.

It is not an unprimeable number, because it can be changed into a prime (1020440413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 350183 + ... + 353084.

It is an arithmetic number, because the mean of its divisors is an integer number (255286284).

Almost surely, 21020440417 is an apocalyptic number.

It is an amenable number.

1020440417 is a deficient number, since it is larger than the sum of its proper divisors (704719).

1020440417 is an equidigital number, since it uses as much as digits as its factorization.

1020440417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704718.

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 1020440417 is about 31944.3330968108. Note that the first 3 decimals coincide. The cubic root of 1020440417 is about 1006.7675690246.

Adding to 1020440417 its reverse (7140440201), we get a palindrome (8160880618).

The spelling of 1020440417 in words is "one billion, twenty million, four hundred forty thousand, four hundred seventeen".

Divisors: 1 1451 703267 1020440417