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130443520 = 2851011009
BaseRepresentation
bin1111100011001…
…10100100000000
3100002110012212111
413301212210000
5231343143040
620535505104
73142515544
oct761464400
9302405774
10130443520
11676a5169
1237828194
132104261c
1413477a24
15b6b9dea
hex7c66900

130443520 has 72 divisors (see below), whose sum is σ = 315859320. Its totient is φ = 51609600.

The previous prime is 130443517. The next prime is 130443527. The reversal of 130443520 is 25344031.

It can be written as a sum of positive squares in 4 ways, for example, as 31719424 + 98724096 = 5632^2 + 9936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130443491 and 130443500.

It is not an unprimeable number, because it can be changed into a prime (130443527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 128776 + ... + 129784.

It is an arithmetic number, because the mean of its divisors is an integer number (4386935).

Almost surely, 2130443520 is an apocalyptic number.

130443520 is a gapful number since it is divisible by the number (10) 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 130443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157929660).

130443520 is an abundant number, since it is smaller than the sum of its proper divisors (185415800).

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

130443520 is a wasteful number, since it uses less digits than its factorization.

130443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 130443520 is about 11421.1873288201. The cubic root of 130443520 is about 507.1551460167.

Adding to 130443520 its reverse (25344031), we get a palindrome (155787551).

The spelling of 130443520 in words is "one hundred thirty million, four hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1009 1010 1280 1616 2018 2020 3232 4036 4040 5045 6464 8072 8080 10090 12928 16144 16160 20180 25856 32288 32320 40360 64576 64640 80720 101909 129152 129280 161440 203818 258304 322880 407636 509545 645760 815272 1019090 1291520 1630544 2038180 3261088 4076360 6522176 8152720 13044352 16305440 26088704 32610880 65221760 130443520