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1001363064 = 233138633719
BaseRepresentation
bin111011101011111…
…001011001111000
32120210020111212220
4323223321121320
54022322104224
6243210404040
733546305562
oct7353713170
92523214786
101001363064
11474274989
1223b430620
1312c5c6730
1496dc4332
155cda0279
hex3baf9678

1001363064 has 64 divisors (see below), whose sum is σ = 2699827200. Its totient is φ = 307671936.

The previous prime is 1001363063. The next prime is 1001363071. The reversal of 1001363064 is 4603631001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001363063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267397 + ... + 271115.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 21001363064 is an apocalyptic number.

It is an amenable number.

1001363064 is an abundant number, since it is smaller than the sum of its proper divisors (1698464136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001363064 is a wasteful number, since it uses less digits than its factorization.

1001363064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1001363064 is about 31644.3211967013. The cubic root of 1001363064 is about 1000.4541483847.

Adding to 1001363064 its reverse (4603631001), we get a palindrome (5604994065).

The spelling of 1001363064 in words is "one billion, one million, three hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 863 1726 2589 3452 3719 5178 6904 7438 10356 11157 11219 14876 20712 22314 22438 29752 33657 44628 44876 48347 67314 89256 89752 96694 134628 145041 193388 269256 290082 386776 580164 1160328 3209497 6418994 9628491 12837988 19256982 25675976 38513964 41723461 77027928 83446922 125170383 166893844 250340766 333787688 500681532 1001363064