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130128834 = 231119412531
BaseRepresentation
bin1111100000110…
…01101111000010
3100001212020012110
413300121233002
5231303110314
620525040150
73140035233
oct760315702
9301766173
10130128834
11674aa7a0
12376b6056
1320c62314
14133d508a
15b656a59
hex7c19bc2

130128834 has 64 divisors (see below), whose sum is σ = 306270720. Its totient is φ = 36432000.

The previous prime is 130128827. The next prime is 130128839. The reversal of 130128834 is 438821031.

It is not an unprimeable number, because it can be changed into a prime (130128839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50149 + ... + 52679.

It is an arithmetic number, because the mean of its divisors is an integer number (4785480).

Almost surely, 2130128834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130128834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153135360).

130128834 is an abundant number, since it is smaller than the sum of its proper divisors (176141886).

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

130128834 is a wasteful number, since it uses less digits than its factorization.

130128834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 130128834 is about 11407.4025965598. The cubic root of 130128834 is about 506.7469920163.

Adding to 130128834 its reverse (438821031), we get a palindrome (568949865).

It can be divided in two parts, 1301 and 28834, that added together give a triangular number (30135 = T245).

The spelling of 130128834 in words is "one hundred thirty million, one hundred twenty-eight thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 41 57 66 82 114 123 209 246 418 451 627 779 902 1254 1353 1558 2337 2531 2706 4674 5062 7593 8569 15186 17138 25707 27841 48089 51414 55682 83523 96178 103771 144267 167046 207542 288534 311313 528979 622626 1057958 1141481 1586937 1971649 2282962 3173874 3424443 3943298 5914947 6848886 11829894 21688139 43376278 65064417 130128834