Base | Representation |
---|---|
bin | 101101001111… |
… | …100111000000 |
3 | 211022120102200 |
4 | 231033213000 |
5 | 11014013131 |
6 | 1102113200 |
7 | 202545321 |
oct | 55174700 |
9 | 24276380 |
10 | 11860416 |
11 | 67709a7 |
12 | 3b7b800 |
13 | 25c35c9 |
14 | 180a448 |
15 | 10942e6 |
hex | b4f9c0 |
11860416 has 84 divisors (see below), whose sum is σ = 34671000. Its totient is φ = 3875328.
The previous prime is 11860411. The next prime is 11860469. The reversal of 11860416 is 61406811.
11860416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 11860416.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11860411) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33810 + ... + 34158.
It is an arithmetic number, because the mean of its divisors is an integer number (412750).
Almost surely, 211860416 is an apocalyptic number.
11860416 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 11860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335500).
11860416 is an abundant number, since it is smaller than the sum of its proper divisors (22810584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11860416 is a wasteful number, since it uses less digits than its factorization.
11860416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 426 (or 413 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 11860416 is about 3443.8954687969. The cubic root of 11860416 is about 228.0516964954.
The spelling of 11860416 in words is "eleven million, eight hundred sixty thousand, four hundred sixteen".
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