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11082336 = 253671723
BaseRepresentation
bin101010010001…
…101001100000
3202212001002220
4222101221200
510314113321
61033311040
7163125006
oct52215140
922761086
1011082336
11628a361
123865480
1323b03c5
141686a76
15e8d9c6
hexa91a60

11082336 has 48 divisors (see below), whose sum is σ = 29542464. Its totient is φ = 3636864.

The previous prime is 11082329. The next prime is 11082371. The reversal of 11082336 is 63328011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×110823363 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5571 + ... + 7293.

It is an arithmetic number, because the mean of its divisors is an integer number (615468).

Almost surely, 211082336 is an apocalyptic number.

11082336 is a gapful number since it is divisible by the number (16) 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 11082336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14771232).

11082336 is an abundant number, since it is smaller than the sum of its proper divisors (18460128).

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

11082336 is a wasteful number, since it uses less digits than its factorization.

11082336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11082336 is about 3329.0142685185. The cubic root of 11082336 is about 222.9515200906.

The spelling of 11082336 in words is "eleven million, eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 1723 2144 3216 3446 5169 6432 6892 10338 13784 20676 27568 41352 55136 82704 115441 165408 230882 346323 461764 692646 923528 1385292 1847056 2770584 3694112 5541168 11082336