Base | Representation |
---|---|
bin | 1000011000000… |
… | …1001010001000 |
3 | 2110002220002200 |
4 | 2012001022020 |
5 | 32443211130 |
6 | 3253000200 |
7 | 604421526 |
oct | 206011210 |
9 | 73086080 |
10 | 35132040 |
11 | 18916249 |
12 | b923060 |
13 | 7380bb8 |
14 | 4947316 |
15 | 313e760 |
hex | 2181288 |
35132040 has 96 divisors (see below), whose sum is σ = 119171520. Its totient is φ = 8959104.
The previous prime is 35132023. The next prime is 35132051. The reversal of 35132040 is 4023153.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6159 + ... + 10401.
It is an arithmetic number, because the mean of its divisors is an integer number (1241370).
Almost surely, 235132040 is an apocalyptic number.
35132040 is a gapful number since it is divisible by the number (30) 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 35132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59585760).
35132040 is an abundant number, since it is smaller than the sum of its proper divisors (84039480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35132040 is a wasteful number, since it uses less digits than its factorization.
35132040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4283 (or 4276 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 35132040 is about 5927.2286947612. The cubic root of 35132040 is about 327.5174592017.
Adding to 35132040 its reverse (4023153), we get a palindrome (39155193).
The spelling of 35132040 in words is "thirty-five million, one hundred thirty-two thousand, forty".
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