Base | Representation |
---|---|
bin | 1111100010000… |
… | …01011100100000 |
3 | 100002011111022200 |
4 | 13301001130200 |
5 | 231323311423 |
6 | 20532333200 |
7 | 3141313365 |
oct | 761013440 |
9 | 302144280 |
10 | 130291488 |
11 | 67600a18 |
12 | 37774200 |
13 | 20cbb372 |
14 | 1343846c |
15 | b689d43 |
hex | 7c41720 |
130291488 has 36 divisors (see below), whose sum is σ = 370517238. Its totient is φ = 43430400.
The previous prime is 130291487. The next prime is 130291489. The reversal of 130291488 is 884192031.
It is an interprime number because it is at equal distance from previous prime (130291487) and next prime (130291489).
It can be written as a sum of positive squares in only one way, i.e., 127509264 + 2782224 = 11292^2 + 1668^2 .
It is a tau number, because it is divible by the number of its divisors (36).
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 (130291487) 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 5 ways as a sum of consecutive naturals, for example, 225913 + ... + 226488.
Almost surely, 2130291488 is an apocalyptic number.
130291488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
130291488 is an abundant number, since it is smaller than the sum of its proper divisors (240225750).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130291488 is a wasteful number, since it uses less digits than its factorization.
130291488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 452417 (or 452406 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 130291488 is about 11414.5296880774. The cubic root of 130291488 is about 506.9580395464.
The spelling of 130291488 in words is "one hundred thirty million, two hundred ninety-one thousand, four hundred eighty-eight".
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