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11082330 = 232573359
BaseRepresentation
bin101010010001…
…101001011010
3202212001002200
4222101221122
510314113310
61033311030
7163125000
oct52215132
922761080
1011082330
11628a356
123865476
1323b03bc
141686a70
15e8d9c0
hexa91a5a

11082330 has 96 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 2526048.

The previous prime is 11082329. The next prime is 11082371. The reversal of 11082330 is 3328011.

It is a super-3 number, since 3×110823303 (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30691 + ... + 31049.

It is an arithmetic number, because the mean of its divisors is an integer number (351000).

Almost surely, 211082330 is an apocalyptic number.

11082330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11082330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

11082330 is an abundant number, since it is smaller than the sum of its proper divisors (22613670).

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

11082330 is a wasteful number, since it uses less digits than its factorization.

11082330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11082330 is about 3329.0133673508. The cubic root of 11082330 is about 222.9514798552.

The spelling of 11082330 in words is "eleven million, eighty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 359 441 490 630 686 718 735 882 1029 1077 1470 1715 1795 2058 2154 2205 2513 3087 3231 3430 3590 4410 5026 5145 5385 6174 6462 7539 10290 10770 12565 15078 15435 16155 17591 22617 25130 30870 32310 35182 37695 45234 52773 75390 87955 105546 113085 123137 158319 175910 226170 246274 263865 316638 369411 527730 615685 738822 791595 1108233 1231370 1583190 1847055 2216466 3694110 5541165 11082330