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11330010 = 2335291447
BaseRepresentation
bin101011001110…
…000111011010
3210022121212000
4223032013122
510400030020
61042501430
7165206046
oct53160732
923277760
1011330010
11643944a
123964876
132469063
14170d026
15edc090
hexace1da

11330010 has 64 divisors (see below), whose sum is σ = 31276800. Its totient is φ = 2915136.

The previous prime is 11330009. The next prime is 11330021. The reversal of 11330010 is 1003311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11329974 and 11330001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7107 + ... + 8553.

It is an arithmetic number, because the mean of its divisors is an integer number (488700).

Almost surely, 211330010 is an apocalyptic number.

11330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638400).

11330010 is an abundant number, since it is smaller than the sum of its proper divisors (19946790).

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

11330010 is a wasteful number, since it uses less digits than its factorization.

11330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 11330010 is about 3366.0080213808. The cubic root of 11330010 is about 224.6001788343.

Adding to 11330010 its reverse (1003311), we get a palindrome (12333321).

The spelling of 11330010 in words is "eleven million, three hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1447 1566 2610 2894 3915 4341 7235 7830 8682 13023 14470 21705 26046 39069 41963 43410 65115 78138 83926 125889 130230 195345 209815 251778 377667 390690 419630 629445 755334 1133001 1258890 1888335 2266002 3776670 5665005 11330010