Base | Representation |
---|---|
bin | 1000100000011… |
… | …1001011001110 |
3 | 2111010210002120 |
4 | 2020013023032 |
5 | 33113242344 |
6 | 3312433410 |
7 | 612166110 |
oct | 210071316 |
9 | 74123076 |
10 | 35680974 |
11 | 1916070a |
12 | bb48866 |
13 | 7513a04 |
14 | 4a4b3b0 |
15 | 31ec219 |
hex | 22072ce |
35680974 has 64 divisors (see below), whose sum is σ = 87375360. Its totient is φ = 9486720.
The previous prime is 35680973. The next prime is 35680999. The reversal of 35680974 is 47908653.
It is a happy number.
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (35680973) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 48312 + ... + 49044.
It is an arithmetic number, because the mean of its divisors is an integer number (1365240).
Almost surely, 235680974 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 35680974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43687680).
35680974 is an abundant number, since it is smaller than the sum of its proper divisors (51694386).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35680974 is a wasteful number, since it uses less digits than its factorization.
35680974 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 825.
The product of its (nonzero) digits is 181440, while the sum is 42.
The square root of 35680974 is about 5973.3553385011. The cubic root of 35680974 is about 329.2144584634.
The spelling of 35680974 in words is "thirty-five million, six hundred eighty thousand, nine hundred seventy-four".
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