| Base | Representation |
|---|---|
| bin | 111100110011100… |
| … | …000100010000000 |
| 3 | 2122002120020220020 |
| 4 | 330303200202000 |
| 5 | 4042123314202 |
| 6 | 245121013440 |
| 7 | 34165003062 |
| oct | 7463404200 |
| 9 | 2562506806 |
| 10 | 1020135552 |
| 11 | 483926a37 |
| 12 | 245784280 |
| 13 | 13346a207 |
| 14 | 996ad732 |
| 15 | 5e85c5bc |
| hex | 3cce0880 |
1020135552 has 128 divisors (see below), whose sum is σ = 2834049600. Its totient is φ = 324710400.
The previous prime is 1020135551. The next prime is 1020135559. The reversal of 1020135552 is 2555310201.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (1020135551) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124283 + ... + 1125189.
Almost surely, 21020135552 is an apocalyptic number.
1020135552 is a gapful number since it is divisible by the number (12) 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 1020135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417024800).
1020135552 is an abundant number, since it is smaller than the sum of its proper divisors (1813914048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020135552 is a wasteful number, since it uses less digits than its factorization.
1020135552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1054 (or 1042 counting only the distinct ones).
The product of its (nonzero) digits is 1500, while the sum is 24.
The square root of 1020135552 is about 31939.5609237197. The cubic root of 1020135552 is about 1006.6672989972.
Adding to 1020135552 its reverse (2555310201), we get a palindrome (3575445753).
It can be divided in two parts, 10201 and 35552, that added together give a triangular number (45753 = T302).
The spelling of 1020135552 in words is "one billion, twenty million, one hundred thirty-five thousand, five hundred fifty-two".
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