Base | Representation |
---|---|
bin | 1111101111011… |
… | …00101001000000 |
3 | 100012110101120210 |
4 | 13313230221000 |
5 | 232300310110 |
6 | 21034034120 |
7 | 3162222000 |
oct | 767545100 |
9 | 305411523 |
10 | 132041280 |
11 | 68596628 |
12 | 38278940 |
13 | 21481947 |
14 | 13772000 |
15 | b8d3520 |
hex | 7deca40 |
132041280 has 224 divisors, whose sum is σ = 490118400. Its totient is φ = 30105600.
The previous prime is 132041269. The next prime is 132041281. The reversal of 132041280 is 82140231.
132041280 = T245 + T246 + ... + T930.
It is a tau number, because it is divible by the number of its divisors (224).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is not an unprimeable number, because it can be changed into a prime (132041281) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329080 + ... + 329480.
Almost surely, 2132041280 is an apocalyptic number.
132041280 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 132041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245059200).
132041280 is an abundant number, since it is smaller than the sum of its proper divisors (358077120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132041280 is an equidigital number, since it uses as much as digits as its factorization.
132041280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 442 (or 418 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 132041280 is about 11490.9216340553. The cubic root of 132041280 is about 509.2174079589.
The spelling of 132041280 in words is "one hundred thirty-two million, forty-one thousand, two hundred eighty".
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