Base | Representation |
---|---|
bin | 1111110000110… |
… | …00010101010000 |
3 | 100012210111001221 |
4 | 13320120111100 |
5 | 232322021430 |
6 | 21041534424 |
7 | 3163565515 |
oct | 770302520 |
9 | 305714057 |
10 | 132220240 |
11 | 686a9029 |
12 | 38344414 |
13 | 21515239 |
14 | 137bb30c |
15 | b91b57a |
hex | 7e18550 |
132220240 has 80 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 48729600.
The previous prime is 132220229. The next prime is 132220241. The reversal of 132220240 is 42022231.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132220241) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55065 + ... + 57415.
It is an arithmetic number, because the mean of its divisors is an integer number (4155984).
Almost surely, 2132220240 is an apocalyptic number.
132220240 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 132220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).
132220240 is an abundant number, since it is smaller than the sum of its proper divisors (200258480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132220240 is a wasteful number, since it uses less digits than its factorization.
132220240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2420 (or 2414 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 132220240 is about 11498.7060141565. The cubic root of 132220240 is about 509.4473572798.
Adding to 132220240 its reverse (42022231), we get a palindrome (174242471).
The spelling of 132220240 in words is "one hundred thirty-two million, two hundred twenty thousand, two hundred forty".
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