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1005630641 = 37927001
BaseRepresentation
bin111011111100001…
…011010010110001
32121002021022220022
4323330023102301
54024420140031
6243442053225
733630501521
oct7374132261
92532238808
101005630641
1147671a204
1224094a215
1313045c022
14977b5681
155d44497b
hex3bf0b4b1

1005630641 has 6 divisors (see below), whose sum is σ = 1008435042. Its totient is φ = 1002834000.

The previous prime is 1005630623. The next prime is 1005630649. The reversal of 1005630641 is 1460365001.

It can be written as a sum of positive squares in only one way, i.e., 829670416 + 175960225 = 28804^2 + 13265^2 .

It is a de Polignac number, because none of the positive numbers 2k-1005630641 is a prime.

It is a super-2 number, since 2×10056306412 = 2022585972236141762, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005630641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005630649) 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 5 ways as a sum of consecutive naturals, for example, 140141 + ... + 147141.

It is an arithmetic number, because the mean of its divisors is an integer number (168072507).

Almost surely, 21005630641 is an apocalyptic number.

It is an amenable number.

1005630641 is a deficient number, since it is larger than the sum of its proper divisors (2804401).

1005630641 is an frugal number, since it uses more digits than its factorization.

1005630641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1005630641 is about 31711.6798829706. The cubic root of 1005630641 is about 1001.8733686318.

Adding to 1005630641 its reverse (1460365001), we get a palindrome (2465995642).

The spelling of 1005630641 in words is "one billion, five million, six hundred thirty thousand, six hundred forty-one".

Divisors: 1 379 7001 143641 2653379 1005630641