Base | Representation |
---|---|
bin | 111101000000100… |
… | …110100001001100 |
3 | 2122100000122021000 |
4 | 331000212201030 |
5 | 4044013133243 |
6 | 245322340300 |
7 | 34236120054 |
oct | 7500464114 |
9 | 2570018230 |
10 | 1023567948 |
11 | 485860827 |
12 | 24695a690 |
13 | 13409c610 |
14 | 99d24564 |
15 | 5ecd95d3 |
hex | 3d02684c |
1023567948 has 48 divisors (see below), whose sum is σ = 2857828960. Its totient is φ = 314943552.
The previous prime is 1023567947. The next prime is 1023567949. The reversal of 1023567948 is 8497653201.
1023567948 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1023567947) and next prime (1023567949).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
1023567948 is strictly pandigital in base 10.
It is not an unprimeable number, because it can be changed into a prime (1023567947) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363115 + ... + 365922.
It is a 2-persistent number, because it is pandigital, and so is 2⋅1023567948 = 2047135896, but 3⋅1023567948 = 3070703844 is not.
Almost surely, 21023567948 is an apocalyptic number.
1023567948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
1023567948 is an abundant number, since it is smaller than the sum of its proper divisors (1834261012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023567948 is a wasteful number, since it uses less digits than its factorization.
1023567948 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 729063 (or 729055 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1023567948 is about 31993.2484752643. The cubic root of 1023567948 is about 1007.7950617945.
The spelling of 1023567948 in words is "one billion, twenty-three million, five hundred sixty-seven thousand, nine hundred forty-eight".
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