Base | Representation |
---|---|
bin | 1100001110010… |
… | …01001101011100 |
3 | 21010221100222200 |
4 | 12013021031130 |
5 | 202222123103 |
6 | 14101411500 |
7 | 2353353600 |
oct | 607111534 |
9 | 233840880 |
10 | 102536028 |
11 | 52973921 |
12 | 2a409b90 |
13 | 18320c0a |
14 | d891500 |
15 | 90060a3 |
hex | 61c935c |
102536028 has 108 divisors (see below), whose sum is σ = 309850632. Its totient is φ = 28486080.
The previous prime is 102536023. The next prime is 102536029. The reversal of 102536028 is 820635201.
102536028 is a `hidden beast` number, since 1 + 0 + 2 + 53 + 602 + 8 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 102535992 and 102536010.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102536023) 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 35 ways as a sum of consecutive naturals, for example, 64483 + ... + 66053.
Almost surely, 2102536028 is an apocalyptic number.
102536028 is a gapful number since it is divisible by the number (18) 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 102536028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154925316).
102536028 is an abundant number, since it is smaller than the sum of its proper divisors (207314604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102536028 is a wasteful number, since it uses less digits than its factorization.
102536028 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1632 (or 1620 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 102536028 is about 10126.0075054288. The cubic root of 102536028 is about 468.0499070162.
It can be divided in two parts, 102 and 536028, that added together give a triangular number (536130 = T1035).
The spelling of 102536028 in words is "one hundred two million, five hundred thirty-six thousand, twenty-eight".
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