Base | Representation |
---|---|
bin | 1000011000000… |
… | …0111000100000 |
3 | 2110002211112220 |
4 | 2012000320200 |
5 | 32443142122 |
6 | 3252551040 |
7 | 604415325 |
oct | 206007040 |
9 | 73084486 |
10 | 35130912 |
11 | 18915413 |
12 | b922480 |
13 | 738052b |
14 | 4946b4c |
15 | 313e25c |
hex | 2180e20 |
35130912 has 48 divisors (see below), whose sum is σ = 93350880. Its totient is φ = 11566592.
The previous prime is 35130911. The next prime is 35130923. The reversal of 35130912 is 21903153.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (35130911) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 5764 + ... + 10172.
It is an arithmetic number, because the mean of its divisors is an integer number (1944810).
Almost surely, 235130912 is an apocalyptic number.
35130912 is a gapful number since it is divisible by the number (32) 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 35130912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46675440).
35130912 is an abundant number, since it is smaller than the sum of its proper divisors (58219968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35130912 is a wasteful number, since it uses less digits than its factorization.
35130912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4505 (or 4497 counting only the distinct ones).
The product of its (nonzero) digits is 810, while the sum is 24.
The square root of 35130912 is about 5927.1335399162. The cubic root of 35130912 is about 327.5139539147.
The spelling of 35130912 in words is "thirty-five million, one hundred thirty thousand, nine hundred twelve".
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