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130632264 = 2334731929
BaseRepresentation
bin1111100100101…
…00101001001000
3100002210210210000
413302110221020
5231420213024
620543523000
73144233040
oct762245110
9302723700
10130632264
1167813a54
12378b9460
13210aa4c9
14134c6720
15b705cc9
hex7c94a48

130632264 has 160 divisors (see below), whose sum is σ = 432115200. Its totient is φ = 36080640.

The previous prime is 130632263. The next prime is 130632287. The reversal of 130632264 is 462236031.

130632264 is a `hidden beast` number, since 1 + 3 + 0 + 632 + 26 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130632263) 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, 140152 + ... + 141080.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 2130632264 is an apocalyptic number.

130632264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130632264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

130632264 is an abundant number, since it is smaller than the sum of its proper divisors (301482936).

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

130632264 is a wasteful number, since it uses less digits than its factorization.

130632264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 130632264 is about 11429.4472307282. The cubic root of 130632264 is about 507.3996358918.

Adding to 130632264 its reverse (462236031), we get a palindrome (592868295).

The spelling of 130632264 in words is "one hundred thirty million, six hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 162 168 186 189 216 217 248 252 279 324 372 378 434 504 558 567 648 651 744 756 837 868 929 1116 1134 1302 1512 1674 1736 1858 1953 2232 2268 2511 2604 2787 3348 3716 3906 4536 5022 5208 5574 5859 6503 6696 7432 7812 8361 10044 11148 11718 13006 15624 16722 17577 19509 20088 22296 23436 25083 26012 28799 33444 35154 39018 46872 50166 52024 57598 58527 66888 70308 75249 78036 86397 100332 115196 117054 140616 150498 156072 172794 175581 200664 201593 230392 234108 259191 300996 345588 351162 403186 468216 518382 526743 601992 604779 691176 702324 777573 806372 1036764 1053486 1209558 1404648 1555146 1612744 1814337 2073528 2106972 2332719 2419116 3110292 3628674 4213944 4665438 4838232 5443011 6220584 7257348 9330876 10886022 14514696 16329033 18661752 21772044 32658066 43544088 65316132 130632264