| Base | Representation |
|---|---|
| bin | 111101100001010… |
| … | …011110111110000 |
| 3 | 2122221011021002100 |
| 4 | 331201103313300 |
| 5 | 4103212023240 |
| 6 | 250230220400 |
| 7 | 34402031166 |
| oct | 7541236760 |
| 9 | 2587137070 |
| 10 | 1032142320 |
| 11 | 48a687890 |
| 12 | 2497b4700 |
| 13 | 135ab2301 |
| 14 | 9b117236 |
| 15 | 6092ee30 |
| hex | 3d853df0 |
1032142320 has 300 divisors, whose sum is σ = 3991469976. Its totient is φ = 237047040.
The previous prime is 1032142313. The next prime is 1032142327. The reversal of 1032142320 is 232412301.
It is an interprime number because it is at equal distance from previous prime (1032142313) and next prime (1032142327).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1032142293 and 1032142302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1032142327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54323271 + ... + 54323289.
Almost surely, 21032142320 is an apocalyptic number.
1032142320 is a gapful number since it is divisible by the number (10) 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 1032142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995734988).
1032142320 is an abundant number, since it is smaller than the sum of its proper divisors (2959327656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1032142320 is an equidigital number, since it uses as much as digits as its factorization.
1032142320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106 (or 40 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 1032142320 is about 32126.9718460984. The cubic root of 1032142320 is about 1010.6013214954.
Adding to 1032142320 its reverse (232412301), we get a palindrome (1264554621).
The spelling of 1032142320 in words is "one billion, thirty-two million, one hundred forty-two thousand, three hundred twenty".
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