Search a number
-
+
130078128 = 2438930449
BaseRepresentation
bin1111100000011…
…01010110110000
3100001202122122110
413300031112300
5231300000003
620524005320
73136434345
oct760152660
9301678573
10130078128
1167475694
1237690840
1320c4520b
14133c07cc
15b646a03
hex7c0d5b0

130078128 has 40 divisors (see below), whose sum is σ = 339822000. Its totient is φ = 42870784.

The previous prime is 130078127. The next prime is 130078147. The reversal of 130078128 is 821870031.

It is a happy number.

130078128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130078095 and 130078104.

It is not an unprimeable number, because it can be changed into a prime (130078127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10953 + ... + 19496.

It is an arithmetic number, because the mean of its divisors is an integer number (8495550).

Almost surely, 2130078128 is an apocalyptic number.

It is an amenable number.

130078128 is an abundant number, since it is smaller than the sum of its proper divisors (209743872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130078128 is a wasteful number, since it uses less digits than its factorization.

130078128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30549 (or 30543 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 130078128 is about 11405.1798758284. The cubic root of 130078128 is about 506.6811637896.

The spelling of 130078128 in words is "one hundred thirty million, seventy-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 4272 30449 60898 91347 121796 182694 243592 365388 487184 730776 1461552 2709961 5419922 8129883 10839844 16259766 21679688 32519532 43359376 65039064 130078128