Base | Representation |
---|---|
bin | 1010011000101… |
… | …01001011100000 |
3 | 20001221002012100 |
4 | 11030111023200 |
5 | 134300243220 |
6 | 12351130400 |
7 | 2105331654 |
oct | 514251340 |
9 | 201832170 |
10 | 87118560 |
11 | 451a3511 |
12 | 25213a00 |
13 | 15083559 |
14 | b7daa64 |
15 | 79acd90 |
hex | 53152e0 |
87118560 has 144 divisors (see below), whose sum is σ = 300736800. Its totient is φ = 22963200.
The previous prime is 87118547. The next prime is 87118561. The reversal of 87118560 is 6581178.
87118560 is a `hidden beast` number, since 87 + 1 + 18 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (87118561) 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 23 ways as a sum of consecutive naturals, for example, 145141 + ... + 145739.
It is an arithmetic number, because the mean of its divisors is an integer number (2088450).
Almost surely, 287118560 is an apocalyptic number.
87118560 is a gapful number since it is divisible by the number (80) 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 87118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).
87118560 is an abundant number, since it is smaller than the sum of its proper divisors (213618240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87118560 is a wasteful number, since it uses less digits than its factorization.
87118560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 721 (or 710 counting only the distinct ones).
The product of its (nonzero) digits is 13440, while the sum is 36.
The square root of 87118560 is about 9333.7323724221. The cubic root of 87118560 is about 443.3059524173.
It can be divided in two parts, 87118 and 560, that added together give a palindrome (87678).
The spelling of 87118560 in words is "eighty-seven million, one hundred eighteen thousand, five hundred sixty".
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