Base | Representation |
---|---|
bin | 1111100011110… |
… | …01011111010000 |
3 | 100002121011012121 |
4 | 13301321133100 |
5 | 231403133130 |
6 | 20541304024 |
7 | 3143260546 |
oct | 761713720 |
9 | 302534177 |
10 | 130521040 |
11 | 67748431 |
12 | 37865014 |
13 | 2106b9b0 |
14 | 13497d96 |
15 | b6d2d7a |
hex | 7c797d0 |
130521040 has 80 divisors (see below), whose sum is σ = 334884816. Its totient is φ = 47001600.
The previous prime is 130521011. The next prime is 130521047. The reversal of 130521040 is 40125031.
It can be written as a sum of positive squares in 8 ways, for example, as 8904256 + 121616784 = 2984^2 + 11028^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130521047) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41110 + ... + 44170.
Almost surely, 2130521040 is an apocalyptic number.
130521040 is a gapful number since it is divisible by the number (10) 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 130521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167442408).
130521040 is an abundant number, since it is smaller than the sum of its proper divisors (204363776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130521040 is a wasteful number, since it uses less digits than its factorization.
130521040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3128 (or 3122 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 16.
The square root of 130521040 is about 11424.5805174632. The cubic root of 130521040 is about 507.2555902077.
Adding to 130521040 its reverse (40125031), we get a palindrome (170646071).
The spelling of 130521040 in words is "one hundred thirty million, five hundred twenty-one thousand, forty".
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