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11332020 = 2235726981
BaseRepresentation
bin101011001110…
…100110110100
3210022201121110
4223032212310
510400111040
61042515020
7165214650
oct53164664
923281543
1011332020
11643aa07
123965a70
132469c4b
14170da60
15edc980
hexace9b4

11332020 has 48 divisors (see below), whose sum is σ = 36263808. Its totient is φ = 2590080.

The previous prime is 11332007. The next prime is 11332021. The reversal of 11332020 is 2023311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11331987 and 11332005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13071 + ... + 13910.

It is an arithmetic number, because the mean of its divisors is an integer number (755496).

Almost surely, 211332020 is an apocalyptic number.

11332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332020 is an abundant number, since it is smaller than the sum of its proper divisors (24931788).

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

11332020 is a wasteful number, since it uses less digits than its factorization.

11332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27000 (or 26998 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11332020 is about 3366.3065814034. The cubic root of 11332020 is about 224.6134597778.

Adding to 11332020 its reverse (2023311), we get a palindrome (13355331).

The spelling of 11332020 in words is "eleven million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 26981 53962 80943 107924 134905 161886 188867 269810 323772 377734 404715 539620 566601 755468 809430 944335 1133202 1618860 1888670 2266404 2833005 3777340 5666010 11332020