Base | Representation |
---|---|
bin | 1100001010011… |
… | …10001010010100 |
3 | 21002222202121201 |
4 | 12011032022110 |
5 | 202110011040 |
6 | 14042522244 |
7 | 2346154306 |
oct | 605161224 |
9 | 232882551 |
10 | 102032020 |
11 | 5265a192 |
12 | 2a206384 |
13 | 181a569c |
14 | d79d976 |
15 | 8e56a9a |
hex | 614e294 |
102032020 has 24 divisors (see below), whose sum is σ = 214552800. Its totient is φ = 40758432.
The previous prime is 102032017. The next prime is 102032023. The reversal of 102032020 is 20230201.
It is an interprime number because it is at equal distance from previous prime (102032017) and next prime (102032023).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 102031988 and 102032006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102032023) 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 7 ways as a sum of consecutive naturals, for example, 14211 + ... + 20149.
It is an arithmetic number, because the mean of its divisors is an integer number (8939700).
Almost surely, 2102032020 is an apocalyptic number.
102032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
102032020 is an abundant number, since it is smaller than the sum of its proper divisors (112520780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102032020 is a wasteful number, since it uses less digits than its factorization.
102032020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6807 (or 6805 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 102032020 is about 10101.0900401887. The cubic root of 102032020 is about 467.2817592125.
Adding to 102032020 its reverse (20230201), we get a palindrome (122262221).
The spelling of 102032020 in words is "one hundred two million, thirty-two thousand, twenty".
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