Base | Representation |
---|---|
bin | 1100010000110… |
… | …01001000010000 |
3 | 21011120000000200 |
4 | 12020121020100 |
5 | 202313112001 |
6 | 14112415200 |
7 | 2356216140 |
oct | 610311020 |
9 | 234500020 |
10 | 102863376 |
11 | 53077860 |
12 | 2a547500 |
13 | 18406c05 |
14 | d938920 |
15 | 906d086 |
hex | 6219210 |
102863376 has 120 divisors (see below), whose sum is σ = 358947264. Its totient is φ = 26714880.
The previous prime is 102863357. The next prime is 102863389. The reversal of 102863376 is 673368201.
It is a happy number.
102863376 is a `hidden beast` number, since 1 + 0 + 286 + 3 + 376 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 102863376.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6450 + ... + 15726.
Almost surely, 2102863376 is an apocalyptic number.
102863376 is a gapful number since it is divisible by the number (16) 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 102863376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179473632).
102863376 is an abundant number, since it is smaller than the sum of its proper divisors (256083888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102863376 is a wasteful number, since it uses less digits than its factorization.
102863376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9309 (or 9300 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 102863376 is about 10142.1583501738. The cubic root of 102863376 is about 468.5474636479.
The spelling of 102863376 in words is "one hundred two million, eight hundred sixty-three thousand, three hundred seventy-six".
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