Base | Representation |
---|---|
bin | 111101000001000… |
… | …000111000101100 |
3 | 2122100020010102000 |
4 | 331001000320230 |
5 | 4044030112243 |
6 | 245324532300 |
7 | 34240046661 |
oct | 7501007054 |
9 | 2570203360 |
10 | 1023675948 |
11 | 485924989 |
12 | 2469b1090 |
13 | 134109819 |
14 | 99d51a68 |
15 | 5ed0b5d3 |
hex | 3d040e2c |
1023675948 has 48 divisors (see below), whose sum is σ = 2659560960. Its totient is φ = 340507152.
The previous prime is 1023675943. The next prime is 1023675949. The reversal of 1023675948 is 8495763201.
1023675948 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
1023675948 is strictly pandigital in base 10.
It is not an unprimeable number, because it can be changed into a prime (1023675943) 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, 42865 + ... + 62327.
It is an arithmetic number, because the mean of its divisors is an integer number (55407520).
It is a 2-persistent number, because it is pandigital, and so is 2⋅1023675948 = 2047351896, but 3⋅1023675948 = 3071027844 is not.
Almost surely, 21023675948 is an apocalyptic number.
1023675948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
1023675948 is an abundant number, since it is smaller than the sum of its proper divisors (1635885012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023675948 is a wasteful number, since it uses less digits than its factorization.
1023675948 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19963 (or 19955 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1023675948 is about 31994.9362868564. The cubic root of 1023675948 is about 1007.8305057984.
The spelling of 1023675948 in words is "one billion, twenty-three million, six hundred seventy-five thousand, nine hundred forty-eight".
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