Base | Representation |
---|---|
bin | 1000001000110… |
… | …10000010000000 |
3 | 11202110011200200 |
4 | 10010122002000 |
5 | 114433422224 |
6 | 10435045200 |
7 | 1456143411 |
oct | 404320200 |
9 | 152404620 |
10 | 68264064 |
11 | 35595890 |
12 | 1aa40800 |
13 | 111b164b |
14 | 90cd808 |
15 | 5ed65c9 |
hex | 411a080 |
68264064 has 96 divisors (see below), whose sum is σ = 214334640. Its totient is φ = 20682240.
The previous prime is 68264047. The next prime is 68264099. The reversal of 68264064 is 46046286.
It is a happy number.
68264064 is a `hidden beast` number, since 6 + 8 + 2 + 640 + 6 + 4 = 666.
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 an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9979 + ... + 15365.
Almost surely, 268264064 is an apocalyptic number.
68264064 is a gapful number since it is divisible by the number (64) 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 68264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107167320).
68264064 is an abundant number, since it is smaller than the sum of its proper divisors (146070576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68264064 is a wasteful number, since it uses less digits than its factorization.
68264064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5418 (or 5403 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 68264064 is about 8262.2069690852. The cubic root of 68264064 is about 408.6931700022.
It can be divided in two parts, 682 and 64064, that added together give a palindrome (64746).
The spelling of 68264064 in words is "sixty-eight million, two hundred sixty-four thousand, sixty-four".
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