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130320144 = 2433595113
BaseRepresentation
bin1111100010010…
…00011100010000
3100002012221122000
413301020130100
5231330221034
620533114000
73141463053
oct761103420
9302187560
10130320144
11676204a9
1237788900
1320ccb416
1413444a9a
15b693599
hex7c48710

130320144 has 80 divisors (see below), whose sum is σ = 380481600. Its totient is φ = 42695424.

The previous prime is 130320137. The next prime is 130320167. The reversal of 130320144 is 441023031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22932 + ... + 28044.

It is an arithmetic number, because the mean of its divisors is an integer number (4756020).

Almost surely, 2130320144 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 130320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190240800).

130320144 is an abundant number, since it is smaller than the sum of its proper divisors (250161456).

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

130320144 is a wasteful number, since it uses less digits than its factorization.

130320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130320144 is about 11415.7848613225. The cubic root of 130320144 is about 506.9952032038.

Adding to 130320144 its reverse (441023031), we get a palindrome (571343175).

The spelling of 130320144 in words is "one hundred thirty million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 4248 5113 6372 8496 10226 12744 15339 20452 25488 30678 40904 46017 61356 81808 92034 122712 138051 184068 245424 276102 301667 368136 552204 603334 736272 905001 1104408 1206668 1810002 2208816 2413336 2715003 3620004 4826672 5430006 7240008 8145009 10860012 14480016 16290018 21720024 32580036 43440048 65160072 130320144