| Base | Representation |
|---|---|
| bin | 111100110011100… |
| … | …010111111100000 |
| 3 | 2122002120202201120 |
| 4 | 330303202333200 |
| 5 | 4042124130012 |
| 6 | 245121132240 |
| 7 | 34165044342 |
| oct | 7463427740 |
| 9 | 2562522646 |
| 10 | 1020145632 |
| 11 | 483933570 |
| 12 | 24578a080 |
| 13 | 13347198c |
| 14 | 996b3292 |
| 15 | 5e86058c |
| hex | 3cce2fe0 |
1020145632 has 96 divisors (see below), whose sum is σ = 2927280384. Its totient is φ = 308505600.
The previous prime is 1020145591. The next prime is 1020145649. The reversal of 1020145632 is 2365410201.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×10201456322 = 2081394220977358848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 988957 + ... + 989987.
It is an arithmetic number, because the mean of its divisors is an integer number (30492504).
Almost surely, 21020145632 is an apocalyptic number.
1020145632 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 1020145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463640192).
1020145632 is an abundant number, since it is smaller than the sum of its proper divisors (1907134752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020145632 is a wasteful number, since it uses less digits than its factorization.
1020145632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 24.
The square root of 1020145632 is about 31939.7187213663. The cubic root of 1020145632 is about 1006.6706146262.
Adding to 1020145632 its reverse (2365410201), we get a palindrome (3385555833).
The spelling of 1020145632 in words is "one billion, twenty million, one hundred forty-five thousand, six hundred thirty-two".
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