Base | Representation |
---|---|
bin | 111100111111100… |
… | …101001000000000 |
3 | 2122022112000211120 |
4 | 330333211020000 |
5 | 4043431100341 |
6 | 245312512240 |
7 | 34233623130 |
oct | 7477451000 |
9 | 2568460746 |
10 | 1023300096 |
11 | 485698565 |
12 | 24684b680 |
13 | 134007720 |
14 | 99c94ac0 |
15 | 5ec85066 |
hex | 3cfe5200 |
1023300096 has 160 divisors (see below), whose sum is σ = 3355701888. Its totient is φ = 269844480.
The previous prime is 1023300079. The next prime is 1023300101. The reversal of 1023300096 is 6900033201.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136116 + ... + 143436.
Almost surely, 21023300096 is an apocalyptic number.
1023300096 is a gapful number since it is divisible by the number (16) 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 1023300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677850944).
1023300096 is an abundant number, since it is smaller than the sum of its proper divisors (2332401792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023300096 is an equidigital number, since it uses as much as digits as its factorization.
1023300096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7362 (or 7346 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 24.
The square root of 1023300096 is about 31989.0621306721. The cubic root of 1023300096 is about 1007.7071459660.
Adding to 1023300096 its reverse (6900033201), we get a palindrome (7923333297).
The spelling of 1023300096 in words is "one billion, twenty-three million, three hundred thousand, ninety-six".
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