Base | Representation |
---|---|
bin | 1100010001101… |
… | …11100010100000 |
3 | 21011210022220000 |
4 | 12020313202200 |
5 | 202331103221 |
6 | 14115220000 |
7 | 2360245242 |
oct | 610674240 |
9 | 234708800 |
10 | 102987936 |
11 | 531523a7 |
12 | 2a5a7600 |
13 | 1844b80c |
14 | d96c092 |
15 | 9094e26 |
hex | 62378a0 |
102987936 has 60 divisors (see below), whose sum is σ = 302892282. Its totient is φ = 34328448.
The previous prime is 102987931. The next prime is 102987953. The reversal of 102987936 is 639789201.
It can be written as a sum of positive squares in only one way, i.e., 63297936 + 39690000 = 7956^2 + 6300^2 .
It is a junction number, because it is equal to n+sod(n) for n = 102987891 and 102987900.
It is not an unprimeable number, because it can be changed into a prime (102987931) 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 9 ways as a sum of consecutive naturals, for example, 17275 + ... + 22458.
Almost surely, 2102987936 is an apocalyptic number.
102987936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
102987936 is an abundant number, since it is smaller than the sum of its proper divisors (199904346).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102987936 is an equidigital number, since it uses as much as digits as its factorization.
102987936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39755 (or 39738 counting only the distinct ones).
The product of its (nonzero) digits is 163296, while the sum is 45.
The square root of 102987936 is about 10148.2971970671. The cubic root of 102987936 is about 468.7365128919.
The spelling of 102987936 in words is "one hundred two million, nine hundred eighty-seven thousand, nine hundred thirty-six".
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