Base | Representation |
---|---|
bin | 101011000100… |
… | …101111100000 |
3 | 210020200012000 |
4 | 223010233200 |
5 | 10342312431 |
6 | 1042004000 |
7 | 164656110 |
oct | 53045740 |
9 | 23220160 |
10 | 11291616 |
11 | 6412616 |
12 | 3946600 |
13 | 245473b |
14 | 16dd040 |
15 | ed09e6 |
hex | ac4be0 |
11291616 has 96 divisors (see below), whose sum is σ = 37658880. Its totient is φ = 3224448.
The previous prime is 11291611. The next prime is 11291617. The reversal of 11291616 is 61619211.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 11291616.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11291611) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 5115 + ... + 6981.
It is an arithmetic number, because the mean of its divisors is an integer number (392280).
Almost surely, 211291616 is an apocalyptic number.
11291616 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 11291616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829440).
11291616 is an abundant number, since it is smaller than the sum of its proper divisors (26367264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11291616 is a wasteful number, since it uses less digits than its factorization.
11291616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1893 (or 1879 counting only the distinct ones).
The product of its digits is 648, while the sum is 27.
The square root of 11291616 is about 3360.2999866083. The cubic root of 11291616 is about 224.3461908786.
The spelling of 11291616 in words is "eleven million, two hundred ninety-one thousand, six hundred sixteen".
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