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1007630966 = 223197251443
BaseRepresentation
bin111100000011110…
…011101001110110
32121020000221211102
4330003303221312
54030423142331
6243553010102
733653502416
oct7403635166
92536027742
101007630966
11477866071
12241553932
131309ac654
1497b76646
155d6dc4cb
hex3c0f3a76

1007630966 has 32 divisors (see below), whose sum is σ = 1595075328. Its totient is φ = 476476000.

The previous prime is 1007630963. The next prime is 1007630977. The reversal of 1007630966 is 6690367001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007630963) 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 15 ways as a sum of consecutive naturals, for example, 2274341 + ... + 2274783.

It is an arithmetic number, because the mean of its divisors is an integer number (49846104).

Almost surely, 21007630966 is an apocalyptic number.

1007630966 is a deficient number, since it is larger than the sum of its proper divisors (587444362).

1007630966 is a wasteful number, since it uses less digits than its factorization.

1007630966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916.

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 1007630966 is about 31743.2034615286. The cubic root of 1007630966 is about 1002.5372124420.

Adding to 1007630966 its reverse (6690367001), we get a palindrome (7697997967).

The spelling of 1007630966 in words is "one billion, seven million, six hundred thirty thousand, nine hundred sixty-six".

Divisors: 1 2 23 46 197 251 394 443 502 886 4531 5773 9062 10189 11546 20378 49447 87271 98894 111193 174542 222386 1137281 2007233 2274562 2557439 4014466 5114878 21905021 43810042 503815483 1007630966