Base | Representation |
---|---|
bin | 111001010101… |
… | …0010011100000 |
3 | 2002120002102000 |
4 | 1302222103200 |
5 | 30143321241 |
6 | 2552124000 |
7 | 513325524 |
oct | 162522340 |
9 | 62502360 |
10 | 30057696 |
11 | 15a6a879 |
12 | a096600 |
13 | 62c5326 |
14 | 3dc5d84 |
15 | 298aeb6 |
hex | 1caa4e0 |
30057696 has 96 divisors (see below), whose sum is σ = 92332800. Its totient is φ = 9486720.
The previous prime is 30057673. The next prime is 30057697. The reversal of 30057696 is 69675003.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 30057696.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30057697) 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 15 ways as a sum of consecutive naturals, for example, 15501 + ... + 17331.
It is an arithmetic number, because the mean of its divisors is an integer number (961800).
Almost surely, 230057696 is an apocalyptic number.
30057696 is a gapful number since it is divisible by the number (36) 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 30057696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46166400).
30057696 is an abundant number, since it is smaller than the sum of its proper divisors (62275104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30057696 is a wasteful number, since it uses less digits than its factorization.
30057696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1869 (or 1855 counting only the distinct ones).
The product of its (nonzero) digits is 34020, while the sum is 36.
The square root of 30057696 is about 5482.4899452712. The cubic root of 30057696 is about 310.9223173533.
It can be divided in two parts, 3005 and 7696, that added together give a palindrome (10701).
The spelling of 30057696 in words is "thirty million, fifty-seven thousand, six hundred ninety-six".
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