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130305834 = 237313
BaseRepresentation
bin1111100010001…
…00111100101010
3100002012020000000
413301010330222
5231324241314
620532523430
73141403251
oct761047452
9302166000
10130305834
116761077a
1237780576
1320cc4a59
141343d798
15b68e209
hex7c44f2a

130305834 has 64 divisors (see below), whose sum is σ = 302914560. Its totient is φ = 42034140.

The previous prime is 130305829. The next prime is 130305841. The reversal of 130305834 is 438503031.

It is a happy number.

It is a super-2 number, since 2×1303058342 = 33959220748871112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130305798 and 130305807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4203399 + ... + 4203429.

It is an arithmetic number, because the mean of its divisors is an integer number (4733040).

Almost surely, 2130305834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130305834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151457280).

130305834 is an abundant number, since it is smaller than the sum of its proper divisors (172608726).

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

130305834 is an frugal number, since it uses more digits than its factorization.

130305834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130305834 is about 11415.1580803772. The cubic root of 130305834 is about 506.9766454002.

Adding to 130305834 its reverse (438503031), we get a palindrome (568808865).

The spelling of 130305834 in words is "one hundred thirty million, three hundred five thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 837 961 1458 1674 1922 2187 2511 2883 4374 5022 5766 7533 8649 15066 17298 22599 25947 29791 45198 51894 59582 67797 77841 89373 135594 155682 178746 233523 268119 467046 536238 700569 804357 1401138 1608714 2101707 2413071 4203414 4826142 7239213 14478426 21717639 43435278 65152917 130305834