Base | Representation |
---|---|
bin | 1100001110010… |
… | …10011011101000 |
3 | 21010221121212000 |
4 | 12013022123220 |
5 | 202222303112 |
6 | 14101451000 |
7 | 2353404306 |
oct | 607123350 |
9 | 233847760 |
10 | 102541032 |
11 | 52977660 |
12 | 2a410a60 |
13 | 18323289 |
14 | d893276 |
15 | 90077dc |
hex | 61ca6e8 |
102541032 has 128 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 30697920.
The previous prime is 102541027. The next prime is 102541037. The reversal of 102541032 is 230145201.
It is an interprime number because it is at equal distance from previous prime (102541027) and next prime (102541037).
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 = 102540996 and 102541014.
It is not an unprimeable number, because it can be changed into a prime (102541037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244519 + ... + 244937.
It is an arithmetic number, because the mean of its divisors is an integer number (2457000).
Almost surely, 2102541032 is an apocalyptic number.
102541032 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 102541032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).
102541032 is an abundant number, since it is smaller than the sum of its proper divisors (211954968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102541032 is a wasteful number, since it uses less digits than its factorization.
102541032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 548 (or 538 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 102541032 is about 10126.2545889386. The cubic root of 102541032 is about 468.0575208721.
Adding to 102541032 its reverse (230145201), we get a palindrome (332686233).
The spelling of 102541032 in words is "one hundred two million, five hundred forty-one thousand, thirty-two".
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