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11534016 = 263134621
BaseRepresentation
bin101011111111…
…111011000000
3210200222200210
4223333323000
510423042031
61051114120
7200015604
oct53777300
923628623
1011534016
11656874a
123a42940
13250ab80
141763504
15102c746
hexaffec0

11534016 has 56 divisors (see below), whose sum is σ = 32871664. Its totient is φ = 3548160.

The previous prime is 11534011. The next prime is 11534027. The reversal of 11534016 is 61043511.

It is a junction number, because it is equal to n+sod(n) for n = 11533983 and 11534001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11534011) 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, 186 + ... + 4806.

It is an arithmetic number, because the mean of its divisors is an integer number (586994).

Almost surely, 211534016 is an apocalyptic number.

11534016 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 11534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16435832).

11534016 is an abundant number, since it is smaller than the sum of its proper divisors (21337648).

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

11534016 is a wasteful number, since it uses less digits than its factorization.

11534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 11534016 is about 3396.1766738496. The cubic root of 11534016 is about 225.9402039835.

Adding to 11534016 its reverse (61043511), we get a palindrome (72577527).

The spelling of 11534016 in words is "eleven million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4621 9242 13863 18484 27726 36968 55452 60073 73936 110904 120146 147872 180219 221808 240292 295744 360438 443616 480584 720876 887232 961168 1441752 1922336 2883504 3844672 5767008 11534016