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11013620 = 22517291117
BaseRepresentation
bin101010000000…
…110111110100
3202201112211212
4222000313310
510304413440
61032020552
7162420452
oct52006764
922645755
1011013620
116242772
123831758
132388047
1416699d2
15e78465
hexa80df4

11013620 has 48 divisors (see below), whose sum is σ = 25356240. Its totient is φ = 3999744.

The previous prime is 11013601. The next prime is 11013623. The reversal of 11013620 is 2631011.

It can be written as a sum of positive squares in 8 ways, for example, as 425104 + 10588516 = 652^2 + 3254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11013595 and 11013604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9302 + ... + 10418.

It is an arithmetic number, because the mean of its divisors is an integer number (528255).

Almost surely, 211013620 is an apocalyptic number.

11013620 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 11013620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678120).

11013620 is an abundant number, since it is smaller than the sum of its proper divisors (14342620).

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

11013620 is a wasteful number, since it uses less digits than its factorization.

11013620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 11013620 is about 3318.6774474179. The cubic root of 11013620 is about 222.4897609226.

Adding to 11013620 its reverse (2631011), we get a palindrome (13644631).

The spelling of 11013620 in words is "eleven million, thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1117 1972 2234 2465 4468 4930 5585 9860 11170 18989 22340 32393 37978 64786 75956 94945 129572 161965 189890 323930 379780 550681 647860 1101362 2202724 2753405 5506810 11013620