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11105416 = 237613251
BaseRepresentation
bin101010010111…
…010010001000
3202220012202201
4222113102020
510320333131
61034005544
7163252210
oct52272210
922805681
1011105416
1162a5733
1238768b4
1323baa6a
141691240
15e95761
hexa97488

11105416 has 32 divisors (see below), whose sum is σ = 24194880. Its totient is φ = 4680000.

The previous prime is 11105411. The next prime is 11105429. The reversal of 11105416 is 61450111.

It is a junction number, because it is equal to n+sod(n) for n = 11105393 and 11105402.

It is not an unprimeable number, because it can be changed into a prime (11105411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1791 + ... + 5041.

It is an arithmetic number, because the mean of its divisors is an integer number (756090).

Almost surely, 211105416 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 11105416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097440).

11105416 is an abundant number, since it is smaller than the sum of its proper divisors (13089464).

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

11105416 is a wasteful number, since it uses less digits than its factorization.

11105416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 11105416 is about 3332.4789571729. The cubic root of 11105416 is about 223.1061852281.

Adding to 11105416 its reverse (61450111), we get a palindrome (72555527).

The spelling of 11105416 in words is "eleven million, one hundred five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 3251 3416 6502 13004 22757 26008 45514 91028 182056 198311 396622 793244 1388177 1586488 2776354 5552708 11105416