Base | Representation |
---|---|
bin | 1000101001010101… |
… | …0111010000000000 |
3 | 12222202002201000000 |
4 | 2022111113100000 |
5 | 14223114343224 |
6 | 1022144000000 |
7 | 111340644132 |
oct | 21225272000 |
9 | 5882081000 |
10 | 2320856064 |
11 | a9107656a |
12 | 549300000 |
13 | 2aca98117 |
14 | 18033b052 |
15 | d8b410c9 |
hex | 8a557400 |
2320856064 has 154 divisors (see below), whose sum is σ = 6958223810. Its totient is φ = 773369856.
The previous prime is 2320856053. The next prime is 2320856107. The reversal of 2320856064 is 4606580232.
2320856064 is a `hidden beast` number, since 2 + 32 + 0 + 8 + 560 + 64 = 666.
It can be written as a sum of positive squares in only one way, i.e., 1649009664 + 671846400 = 40608^2 + 25920^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 13 ways as a sum of consecutive naturals, for example, 744942 + ... + 748050.
Almost surely, 22320856064 is an apocalyptic number.
2320856064 is a gapful number since it is divisible by the number (24) 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 2320856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479111905).
2320856064 is an abundant number, since it is smaller than the sum of its proper divisors (4637367746).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2320856064 is an frugal number, since it uses more digits than its factorization.
2320856064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3147 (or 3114 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 2320856064 is about 48175.2640262614. The cubic root of 2320856064 is about 1323.9839965451.
The spelling of 2320856064 in words is "two billion, three hundred twenty million, eight hundred fifty-six thousand, sixty-four".
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