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1001328660 = 2232516733311
BaseRepresentation
bin111011101011110…
…001000000010100
32120210011202200200
4323223301000110
54022320004120
6243205540500
733546103353
oct7353610024
92523152620
101001328660
11474251052
1223b414730
1312c5b3b87
1496db599a
155cd94e90
hex3baf1014

1001328660 has 72 divisors (see below), whose sum is σ = 3055643136. Its totient is φ = 265414080.

The previous prime is 1001328593. The next prime is 1001328661. The reversal of 1001328660 is 668231001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001328661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13405 + ... + 46715.

It is an arithmetic number, because the mean of its divisors is an integer number (42439488).

Almost surely, 21001328660 is an apocalyptic number.

1001328660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001328660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527821568).

1001328660 is an abundant number, since it is smaller than the sum of its proper divisors (2054314476).

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

1001328660 is a wasteful number, since it uses less digits than its factorization.

1001328660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33493 (or 33488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1001328660 is about 31643.7775873867. Note that the first 3 decimals coincide. The cubic root of 1001328660 is about 1000.4426906627.

Adding to 1001328660 its reverse (668231001), we get a palindrome (1669559661).

The spelling of 1001328660 in words is "one billion, one million, three hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 33311 66622 99933 133244 166555 199866 299799 333110 399732 499665 599598 666220 999330 1199196 1498995 1998660 2997990 5562937 5995980 11125874 16688811 22251748 27814685 33377622 50066433 55629370 66755244 83444055 100132866 111258740 166888110 200265732 250332165 333776220 500664330 1001328660