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11087328 = 253722357
BaseRepresentation
bin101010010010…
…110111100000
3202212021221210
4222102313200
510314243303
61033350120
7163145400
oct52226740
922767853
1011087328
11629308a
123868340
1323b2765
141688800
15e90203
hexa92de0

11087328 has 72 divisors (see below), whose sum is σ = 33870312. Its totient is φ = 3166464.

The previous prime is 11087327. The next prime is 11087333. The reversal of 11087328 is 82378011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11087295 and 11087304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11087327) 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 11 ways as a sum of consecutive naturals, for example, 3526 + ... + 5882.

It is an arithmetic number, because the mean of its divisors is an integer number (470421).

Almost surely, 211087328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11087328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16935156).

11087328 is an abundant number, since it is smaller than the sum of its proper divisors (22782984).

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

11087328 is a wasteful number, since it uses less digits than its factorization.

11087328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 11087328 is about 3329.7639555981. The cubic root of 11087328 is about 222.9849909798.

The spelling of 11087328 in words is "eleven million, eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 2357 4704 4714 7071 9428 14142 16499 18856 28284 32998 37712 49497 56568 65996 75424 98994 113136 115493 131992 197988 226272 230986 263984 346479 395976 461972 527968 692958 791952 923944 1385916 1583904 1847888 2771832 3695776 5543664 11087328