Base | Representation |
---|---|
bin | 1111100011110… |
… | …11111111010100 |
3 | 100002121200021000 |
4 | 13301323333110 |
5 | 231404000114 |
6 | 20541423300 |
7 | 3143332452 |
oct | 761737724 |
9 | 302550230 |
10 | 130531284 |
11 | 677550a4 |
12 | 3786ab30 |
13 | 21073560 |
14 | 1349b9d2 |
15 | b6d5e09 |
hex | 7c7bfd4 |
130531284 has 96 divisors (see below), whose sum is σ = 366912000. Its totient is φ = 39892608.
The previous prime is 130531283. The next prime is 130531307. The reversal of 130531284 is 482135031.
It is a happy number.
It is a super-2 number, since 2×1305312842 = 34076832205377312, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130531283) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335362 + ... + 335750.
It is an arithmetic number, because the mean of its divisors is an integer number (3822000).
Almost surely, 2130531284 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130531284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).
130531284 is an abundant number, since it is smaller than the sum of its proper divisors (236380716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130531284 is a wasteful number, since it uses less digits than its factorization.
130531284 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 654 (or 646 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 130531284 is about 11425.0288402262. The cubic root of 130531284 is about 507.2688605850.
The spelling of 130531284 in words is "one hundred thirty million, five hundred thirty-one thousand, two hundred eighty-four".
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