Base | Representation |
---|---|
bin | 1000011011011… |
… | …0110111010100 |
3 | 2110112001212002 |
4 | 2012312313110 |
5 | 33022231040 |
6 | 3301414432 |
7 | 606326054 |
oct | 206666724 |
9 | 73461762 |
10 | 35352020 |
11 | 18a56550 |
12 | ba0a418 |
13 | 742a072 |
14 | 49a3564 |
15 | 3184a15 |
hex | 21b6dd4 |
35352020 has 96 divisors (see below), whose sum is σ = 85954176. Its totient is φ = 12096000.
The previous prime is 35352019. The next prime is 35352041. The reversal of 35352020 is 2025353.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 35351983 and 35352001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349970 + ... + 350070.
It is an arithmetic number, because the mean of its divisors is an integer number (895356).
Almost surely, 235352020 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 35352020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42977088).
35352020 is an abundant number, since it is smaller than the sum of its proper divisors (50602156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35352020 is a wasteful number, since it uses less digits than its factorization.
35352020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 201 (or 199 counting only the distinct ones).
The product of its (nonzero) digits is 900, while the sum is 20.
The square root of 35352020 is about 5945.7564699540. The cubic root of 35352020 is about 328.1996231789.
Adding to 35352020 its reverse (2025353), we get a palindrome (37377373).
It can be divided in two parts, 3535 and 2020, that added together give a palindrome (5555).
The spelling of 35352020 in words is "thirty-five million, three hundred fifty-two thousand, twenty".
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