Base | Representation |
---|---|
bin | 101110001110… |
… | …110111100000 |
3 | 211210201212010 |
4 | 232032313200 |
5 | 11100311040 |
6 | 1111432520 |
7 | 205004610 |
oct | 56166740 |
9 | 24721763 |
10 | 12119520 |
11 | 6928636 |
12 | 4085740 |
13 | 268451a |
14 | 1876a40 |
15 | 10e5e80 |
hex | b8ede0 |
12119520 has 96 divisors (see below), whose sum is σ = 43642368. Its totient is φ = 2769408.
The previous prime is 12119519. The next prime is 12119557. The reversal of 12119520 is 2591121.
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 (21).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557 + ... + 5163.
It is an arithmetic number, because the mean of its divisors is an integer number (454608).
Almost surely, 212119520 is an apocalyptic number.
12119520 is a gapful number since it is divisible by the number (10) 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 12119520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21821184).
12119520 is an abundant number, since it is smaller than the sum of its proper divisors (31522848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12119520 is a wasteful number, since it uses less digits than its factorization.
12119520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3632 (or 3624 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 21.
The square root of 12119520 is about 3481.3100982245. The cubic root of 12119520 is about 229.7004291394.
It can be divided in two parts, 1211 and 9520, that added together give a triangular number (10731 = T146).
The spelling of 12119520 in words is "twelve million, one hundred nineteen thousand, five hundred twenty".
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