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11096928 = 253253727
BaseRepresentation
bin101010010101…
…001101100000
3202212210010100
4222111031200
510320100203
61033502400
7163215363
oct52251540
922783110
1011096928
11629a317
123871a00
1323b6c3b
14168c0da
15e92ea3
hexa95360

11096928 has 72 divisors (see below), whose sum is σ = 32196528. Its totient is φ = 3624192.

The previous prime is 11096927. The next prime is 11096933. The reversal of 11096928 is 82969011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×110969282 = 246283622074368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11096892 and 11096901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11096923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14901 + ... + 15627.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 211096928 is an apocalyptic number.

11096928 is a gapful number since it is divisible by the number (18) 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 11096928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098264).

11096928 is an abundant number, since it is smaller than the sum of its proper divisors (21099600).

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

11096928 is a wasteful number, since it uses less digits than its factorization.

11096928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11096928 is about 3331.2051873158. The cubic root of 11096928 is about 223.0493298472.

The spelling of 11096928 in words is "eleven million, ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 727 848 954 1272 1454 1696 1908 2181 2544 2908 3816 4362 5088 5816 6543 7632 8724 11632 13086 15264 17448 23264 26172 34896 38531 52344 69792 77062 104688 115593 154124 209376 231186 308248 346779 462372 616496 693558 924744 1232992 1387116 1849488 2774232 3698976 5548464 11096928