Base | Representation |
---|---|
bin | 1111101111001… |
… | …10111111001000 |
3 | 100012102012211000 |
4 | 13313212333020 |
5 | 232244034440 |
6 | 21033335000 |
7 | 3162064323 |
oct | 767467710 |
9 | 305365730 |
10 | 132018120 |
11 | 68580193 |
12 | 38267460 |
13 | 21474240 |
14 | 137677ba |
15 | b8cb730 |
hex | 7de6fc8 |
132018120 has 128 divisors (see below), whose sum is σ = 473961600. Its totient is φ = 32493312.
The previous prime is 132018083. The next prime is 132018167. The reversal of 132018120 is 21810231.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 132018093 and 132018102.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9339 + ... + 18741.
It is an arithmetic number, because the mean of its divisors is an integer number (3702825).
Almost surely, 2132018120 is an apocalyptic number.
132018120 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 132018120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236980800).
132018120 is an abundant number, since it is smaller than the sum of its proper divisors (341943480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132018120 is a wasteful number, since it uses less digits than its factorization.
132018120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9436 (or 9426 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 132018120 is about 11489.9138377970. The cubic root of 132018120 is about 509.1876340257.
Adding to 132018120 its reverse (21810231), we get a palindrome (153828351).
It can be divided in two parts, 1320181 and 20, that added together give a square (1320201 = 11492).
The spelling of 132018120 in words is "one hundred thirty-two million, eighteen thousand, one hundred twenty".
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