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11109966 = 2372233153
BaseRepresentation
bin101010011000…
…011001001110
3202220110000020
4222120121032
510321004331
61034043010
7163301400
oct52303116
922813006
1011109966
1162a909a
123879466
1323bcb5a
141692b70
15e96c96
hexa9864e

11109966 has 96 divisors (see below), whose sum is σ = 28366848. Its totient is φ = 2882880.

The previous prime is 11109949. The next prime is 11109977. The reversal of 11109966 is 66990111.

It is a Curzon number.

It is a congruent number.

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, 209596 + ... + 209648.

It is an arithmetic number, because the mean of its divisors is an integer number (295488).

Almost surely, 211109966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11109966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183424).

11109966 is an abundant number, since it is smaller than the sum of its proper divisors (17256882).

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

11109966 is a wasteful number, since it uses less digits than its factorization.

11109966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 11109966 is about 3333.1615622409. The cubic root of 11109966 is about 223.1366506796.

The spelling of 11109966 in words is "eleven million, one hundred nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 49 53 62 69 93 98 106 138 147 159 161 186 217 294 318 322 371 434 483 651 713 742 966 1113 1127 1219 1302 1426 1519 1643 2139 2226 2254 2438 2597 3038 3286 3381 3657 4278 4557 4929 4991 5194 6762 7314 7791 8533 9114 9858 9982 11501 14973 15582 17066 23002 25599 29946 34503 34937 37789 51198 59731 69006 69874 75578 80507 104811 113367 119462 161014 179193 209622 226734 241521 264523 358386 483042 529046 793569 1587138 1851661 3703322 5554983 11109966