Base | Representation |
---|---|
bin | 1111110010000… |
… | …11010000001000 |
3 | 100020010102020001 |
4 | 13321003100020 |
5 | 232343133130 |
6 | 21045412344 |
7 | 3165230200 |
oct | 771032010 |
9 | 306112201 |
10 | 132396040 |
11 | 68809117 |
12 | 3840a0b4 |
13 | 2157726a |
14 | 13825400 |
15 | b9536ca |
hex | 7e43408 |
132396040 has 96 divisors (see below), whose sum is σ = 357868800. Its totient is φ = 43908480.
The previous prime is 132396037. The next prime is 132396109. The reversal of 132396040 is 40693231.
It is a super-2 number, since 2×1323960402 = 35057422815363200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59671 + ... + 61849.
It is an arithmetic number, because the mean of its divisors is an integer number (3727800).
Almost surely, 2132396040 is an apocalyptic number.
132396040 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 132396040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178934400).
132396040 is an abundant number, since it is smaller than the sum of its proper divisors (225472760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132396040 is a wasteful number, since it uses less digits than its factorization.
132396040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2235 (or 2224 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 28.
The square root of 132396040 is about 11506.3478132725. The cubic root of 132396040 is about 509.6730443136.
The spelling of 132396040 in words is "one hundred thirty-two million, three hundred ninety-six thousand, forty".
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