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11103828 = 22319311571
BaseRepresentation
bin101010010110…
…111001010100
3202220010120220
4222112321110
510320310303
61033554340
7163244451
oct52267124
922803526
1011103828
1162a451a
1238759b0
1323ba118
141690828
15e95053
hexa96e54

11103828 has 48 divisors (see below), whose sum is σ = 28170240. Its totient is φ = 3391200.

The previous prime is 11103817. The next prime is 11103877. The reversal of 11103828 is 82830111.

11103828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11103828 is a nontrivial binomial coefficient, being equal to C(4713, 2).

It is a junction number, because it is equal to n+sod(n) for n = 11103798 and 11103807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6283 + ... + 7853.

It is an arithmetic number, because the mean of its divisors is an integer number (586880).

Almost surely, 211103828 is an apocalyptic number.

11103828 is the 4712-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11103828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14085120).

11103828 is an abundant number, since it is smaller than the sum of its proper divisors (17066412).

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

11103828 is a wasteful number, since it uses less digits than its factorization.

11103828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11103828 is about 3332.2406875855. The cubic root of 11103828 is about 223.0955504918.

Adding to 11103828 its reverse (82830111), we get a palindrome (93933939).

The spelling of 11103828 in words is "eleven million, one hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1571 1767 2356 3142 3534 4713 6284 7068 9426 18852 29849 48701 59698 89547 97402 119396 146103 179094 194804 292206 358188 584412 925319 1850638 2775957 3701276 5551914 11103828