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130641336 = 2334783347
BaseRepresentation
bin1111100100101…
…10110110111000
3100002211021020000
413302112312320
5231421010321
620544033000
73144301350
oct762266670
9302737200
10130641336
116781a851
1237902760
13210b1687
14134c9b60
15b708826
hex7c96db8

130641336 has 160 divisors (see below), whose sum is σ = 424448640. Its totient is φ = 36770112.

The previous prime is 130641331. The next prime is 130641337. The reversal of 130641336 is 633146031.

130641336 is a `hidden beast` number, since 13 + 0 + 641 + 3 + 3 + 6 = 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 (130641331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376315 + ... + 376661.

It is an arithmetic number, because the mean of its divisors is an integer number (2652804).

Almost surely, 2130641336 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 130641336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212224320).

130641336 is an abundant number, since it is smaller than the sum of its proper divisors (293807304).

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

130641336 is a wasteful number, since it uses less digits than its factorization.

130641336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 130641336 is about 11429.8440934249. The cubic root of 130641336 is about 507.4113813896.

Adding to 130641336 its reverse (633146031), we get a palindrome (763787367).

It can be divided in two parts, 1306413 and 36, that added together give a square (1306449 = 11432).

The spelling of 130641336 in words is "one hundred thirty million, six hundred forty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 83 84 108 126 162 166 168 189 216 249 252 324 332 347 378 498 504 567 581 648 664 694 747 756 996 1041 1134 1162 1388 1494 1512 1743 1992 2082 2241 2268 2324 2429 2776 2988 3123 3486 4164 4482 4536 4648 4858 5229 5976 6246 6723 6972 7287 8328 8964 9369 9716 10458 12492 13446 13944 14574 15687 17928 18738 19432 20916 21861 24984 26892 28107 28801 29148 31374 37476 41832 43722 47061 53784 56214 57602 58296 62748 65583 74952 86403 87444 94122 112428 115204 125496 131166 172806 174888 188244 196749 201607 224856 230408 259209 262332 345612 376488 393498 403214 518418 524664 604821 691224 777627 786996 806428 1036836 1209642 1555254 1573992 1612856 1814463 2073672 2332881 2419284 3110508 3628926 4665762 4838568 5443389 6221016 7257852 9331524 10886778 14515704 16330167 18663048 21773556 32660334 43547112 65320668 130641336