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130243256 = 2311131737181
BaseRepresentation
bin1111100001101…
…01101010111000
3100002002001011022
413300311222320
5231320241011
620531322012
73141022643
oct760655270
9302061138
10130243256
1167578760
1237750308
1320ca2420
1413424a5a
15b67a8db
hex7c35ab8

130243256 has 128 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 49766400.

The previous prime is 130243249. The next prime is 130243261. The reversal of 130243256 is 652342031.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 719486 + ... + 719666.

Almost surely, 2130243256 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 130243256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

130243256 is an abundant number, since it is smaller than the sum of its proper divisors (183466504).

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

130243256 is a wasteful number, since it uses less digits than its factorization.

130243256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 130243256 is about 11412.4167466843. The cubic root of 130243256 is about 506.8954756794.

Adding to 130243256 its reverse (652342031), we get a palindrome (782585287).

It can be divided in two parts, 13024 and 3256, that multiplied together give a square (42406144 = 65122).

The spelling of 130243256 in words is "one hundred thirty million, two hundred forty-three thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 13 17 22 26 34 37 44 52 68 74 88 104 136 143 148 181 187 221 286 296 362 374 407 442 481 572 629 724 748 814 884 962 1144 1258 1448 1496 1628 1768 1924 1991 2353 2431 2516 3077 3256 3848 3982 4706 4862 5032 5291 6154 6697 6919 7964 8177 9412 9724 10582 12308 13394 13838 15928 16354 18824 19448 21164 24616 25883 26788 27676 32708 33847 40001 42328 51766 53576 55352 65416 67694 73667 80002 87061 89947 103532 113849 135388 147334 160004 174122 179894 207064 227698 270776 294668 320008 348244 359788 440011 455396 589336 696488 719576 880022 910792 957671 1252339 1480037 1760044 1915342 2504678 2960074 3520088 3830684 5009356 5920148 7661368 10018712 11840296 16280407 32560814 65121628 130243256