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11016720 = 243251113107
BaseRepresentation
bin101010000001…
…101000010000
3202201201002200
4222001220100
510310013340
61032043200
7162432501
oct52015020
922651080
1011016720
116245030
123833500
132389590
14166aba8
15e79330
hexa81a10

11016720 has 240 divisors, whose sum is σ = 43872192. Its totient is φ = 2442240.

The previous prime is 11016667. The next prime is 11016727. The reversal of 11016720 is 2761011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11016693 and 11016702.

It is not an unprimeable number, because it can be changed into a prime (11016727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102907 + ... + 103013.

Almost surely, 211016720 is an apocalyptic number.

11016720 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 11016720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096).

11016720 is an abundant number, since it is smaller than the sum of its proper divisors (32855472).

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

11016720 is a wasteful number, since it uses less digits than its factorization.

11016720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11016720 is about 3319.1444680821. The cubic root of 11016720 is about 222.5106336710.

Adding to 11016720 its reverse (2761011), we get a palindrome (13777731).

The spelling of 11016720 in words is "eleven million, sixteen thousand, seven hundred twenty".