Base | Representation |
---|---|
bin | 110101000100… |
… | …011110110000 |
3 | 222011210122200 |
4 | 311010132300 |
5 | 12030140414 |
6 | 1214103200 |
7 | 226151502 |
oct | 65043660 |
9 | 28153580 |
10 | 13911984 |
11 | 7942309 |
12 | 47aab00 |
13 | 2b61358 |
14 | 1bc1d72 |
15 | 134c109 |
hex | d447b0 |
13911984 has 60 divisors (see below), whose sum is σ = 41231736. Its totient is φ = 4363776.
The previous prime is 13911983. The next prime is 13911991. The reversal of 13911984 is 48911931.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (13911983) 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 11 ways as a sum of consecutive naturals, for example, 394 + ... + 5289.
Almost surely, 213911984 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 13911984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615868).
13911984 is an abundant number, since it is smaller than the sum of its proper divisors (27319752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13911984 is a wasteful number, since it uses less digits than its factorization.
13911984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5714 (or 5705 counting only the distinct ones).
The product of its digits is 7776, while the sum is 36.
The square root of 13911984 is about 3729.8772097751. The cubic root of 13911984 is about 240.5080902588.
It can be divided in two parts, 1391 and 1984, that added together give a cube (3375 = 153).
The spelling of 13911984 in words is "thirteen million, nine hundred eleven thousand, nine hundred eighty-four".
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