Base | Representation |
---|---|
bin | 111101000000101… |
… | …001010101001100 |
3 | 2122100001020001200 |
4 | 331000221111030 |
5 | 4044014020333 |
6 | 245322505500 |
7 | 34236165462 |
oct | 7500512514 |
9 | 2570036050 |
10 | 1023579468 |
11 | 48586944a |
12 | 246965290 |
13 | 1340a4932 |
14 | 99d28832 |
15 | 5ecdcc13 |
hex | 3d02954c |
1023579468 has 36 divisors (see below), whose sum is σ = 2589485808. Its totient is φ = 340915680.
The previous prime is 1023579437. The next prime is 1023579481. The reversal of 1023579468 is 8649753201.
1023579468 is a `hidden beast` number, since 10 + 2 + 3 + 579 + 4 + 68 = 666.
1023579468 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×10235794682 = 2095429854622326048, which contains 22 as substring.
1023579468 is strictly pandigital in base 10.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35998 + ... + 57818.
It is a 2-persistent number, because it is pandigital, and so is 2⋅1023579468 = 2047158936, but 3⋅1023579468 = 3070738404 is not.
Almost surely, 21023579468 is an apocalyptic number.
1023579468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
1023579468 is an abundant number, since it is smaller than the sum of its proper divisors (1565906340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023579468 is a wasteful number, since it uses less digits than its factorization.
1023579468 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23134 (or 23129 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1023579468 is about 31993.4285127431. The cubic root of 1023579468 is about 1007.7988426071.
The spelling of 1023579468 in words is "one billion, twenty-three million, five hundred seventy-nine thousand, four hundred sixty-eight".
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