Base | Representation |
---|---|
bin | 1111110100100… |
… | …00111100110000 |
3 | 100020201120210000 |
4 | 13322100330300 |
5 | 232433324123 |
6 | 21100310000 |
7 | 3201024060 |
oct | 772207460 |
9 | 306646700 |
10 | 132714288 |
11 | 68a06233 |
12 | 38542300 |
13 | 21659085 |
14 | 138a93a0 |
15 | b9b7b43 |
hex | 7e90f30 |
132714288 has 100 divisors (see below), whose sum is σ = 439017040. Its totient is φ = 37915776.
The previous prime is 132714277. The next prime is 132714289. The reversal of 132714288 is 882417231.
It is a super-2 number, since 2×1327142882 = 35226164478693888, which contains 22 as substring.
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 (132714289) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1758 + ... + 16386.
Almost surely, 2132714288 is an apocalyptic number.
132714288 is a gapful number since it is divisible by the number (18) 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 132714288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219508520).
132714288 is an abundant number, since it is smaller than the sum of its proper divisors (306302752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132714288 is a wasteful number, since it uses less digits than its factorization.
132714288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14656 (or 14641 counting only the distinct ones).
The product of its digits is 21504, while the sum is 36.
The square root of 132714288 is about 11520.1687487641. The cubic root of 132714288 is about 510.0810943711.
The spelling of 132714288 in words is "one hundred thirty-two million, seven hundred fourteen thousand, two hundred eighty-eight".
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