Base | Representation |
---|---|
bin | 1000010111010… |
… | …0011111000000 |
3 | 2110000020220000 |
4 | 2011310133000 |
5 | 32440031003 |
6 | 3251520000 |
7 | 604114266 |
oct | 205643700 |
9 | 73006800 |
10 | 35080128 |
11 | 18890246 |
12 | b8b9000 |
13 | 7363395 |
14 | 4932436 |
15 | 312e1a3 |
hex | 21747c0 |
35080128 has 140 divisors (see below), whose sum is σ = 106585512. Its totient is φ = 11404800.
The previous prime is 35080103. The next prime is 35080139. The reversal of 35080128 is 82108053.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
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 19 ways as a sum of consecutive naturals, for example, 347278 + ... + 347378.
Almost surely, 235080128 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 35080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53292756).
35080128 is an abundant number, since it is smaller than the sum of its proper divisors (71505384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35080128 is a wasteful number, since it uses less digits than its factorization.
35080128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 192 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The square root of 35080128 is about 5922.8479636067. The cubic root of 35080128 is about 327.3560636260.
The spelling of 35080128 in words is "thirty-five million, eighty thousand, one hundred twenty-eight".
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