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11083488 = 2531383107
BaseRepresentation
bin101010010001…
…111011100000
3202212002200120
4222101323200
510314132423
61033320240
7163131243
oct52217340
922762616
1011083488
116290209
123866080
1323b0aa0
14168725a
15e8dee3
hexa91ee0

11083488 has 96 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 3337728.

The previous prime is 11083487. The next prime is 11083529. The reversal of 11083488 is 88438011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110834882 = 245687412492288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11083487) 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, 103531 + ... + 103637.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 211083488 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 11083488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

11083488 is an abundant number, since it is smaller than the sum of its proper divisors (20922528).

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

11083488 is a wasteful number, since it uses less digits than its factorization.

11083488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 11083488 is about 3329.1872882131. The cubic root of 11083488 is about 222.9592450340.

The spelling of 11083488 in words is "eleven million, eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 107 156 166 208 214 249 312 321 332 416 428 498 624 642 664 856 996 1079 1248 1284 1328 1391 1712 1992 2158 2568 2656 2782 3237 3424 3984 4173 4316 5136 5564 6474 7968 8346 8632 8881 10272 11128 12948 16692 17264 17762 22256 25896 26643 33384 34528 35524 44512 51792 53286 66768 71048 103584 106572 115453 133536 142096 213144 230906 284192 346359 426288 461812 692718 852576 923624 1385436 1847248 2770872 3694496 5541744 11083488