Search a number
-
+
130501644 = 223713127941
BaseRepresentation
bin1111100011101…
…00110000001100
3100002120011121020
413301310300030
5231402023034
620541034140
73143150160
oct761646014
9302504536
10130501644
11677348a9
1237855950
1321062c10
1413490ca0
15b6cc249
hex7c74c0c

130501644 has 96 divisors (see below), whose sum is σ = 378126336. Its totient is φ = 34110720.

The previous prime is 130501597. The next prime is 130501663. The reversal of 130501644 is 446105031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138214 + ... + 139154.

It is an arithmetic number, because the mean of its divisors is an integer number (3938816).

Almost surely, 2130501644 is an apocalyptic number.

130501644 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 130501644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189063168).

130501644 is an abundant number, since it is smaller than the sum of its proper divisors (247624692).

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

130501644 is a wasteful number, since it uses less digits than its factorization.

130501644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 130501644 is about 11423.7316144945. The cubic root of 130501644 is about 507.2304621598.

Adding to 130501644 its reverse (446105031), we get a palindrome (576606675).

The spelling of 130501644 in words is "one hundred thirty million, five hundred one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 127 156 182 254 273 364 381 508 546 762 889 941 1092 1524 1651 1778 1882 2667 2823 3302 3556 3764 4953 5334 5646 6587 6604 9906 10668 11292 11557 12233 13174 19761 19812 23114 24466 26348 34671 36699 39522 46228 48932 69342 73398 79044 85631 119507 138684 146796 171262 239014 256893 342524 358521 478028 513786 717042 836549 1027572 1434084 1553591 1673098 2509647 3107182 3346196 4660773 5019294 6214364 9321546 10038588 10875137 18643092 21750274 32625411 43500548 65250822 130501644