Base | Representation |
---|---|
bin | 1111100100010… |
… | …10010111000000 |
3 | 100002201200000000 |
4 | 13302022113000 |
5 | 231412341034 |
6 | 20543000000 |
7 | 3143666166 |
oct | 762122700 |
9 | 302650000 |
10 | 130590144 |
11 | 67795343 |
12 | 37899000 |
13 | 21094299 |
14 | 134b5236 |
15 | b6e8599 |
hex | 7c8a5c0 |
130590144 has 126 divisors (see below), whose sum is σ = 389939784. Its totient is φ = 43390080.
The previous prime is 130590143. The next prime is 130590157. The reversal of 130590144 is 441095031.
130590144 is a `hidden beast` number, since 1 + 30 + 590 + 1 + 44 = 666.
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 (130590143) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419749 + ... + 420059.
Almost surely, 2130590144 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 130590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194969892).
130590144 is an abundant number, since it is smaller than the sum of its proper divisors (259349640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130590144 is an frugal number, since it uses more digits than its factorization.
130590144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 347 (or 316 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 130590144 is about 11427.6044733794. The cubic root of 130590144 is about 507.3450960984.
The spelling of 130590144 in words is "one hundred thirty million, five hundred ninety thousand, one hundred forty-four".
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