Search a number
-
+
130421520 = 24325181141
BaseRepresentation
bin1111100011000…
…01001100010000
3100002102002200200
413301201030100
5231341442040
620535215200
73142364445
oct761411420
9302362620
10130421520
116768a689
1237817500
13210355c8
141346d9cc
15b6b3630
hex7c61310

130421520 has 60 divisors (see below), whose sum is σ = 438001356. Its totient is φ = 34778880.

The previous prime is 130421503. The next prime is 130421527. The reversal of 130421520 is 25124031.

It can be written as a sum of positive squares in 2 ways, for example, as 21678336 + 108743184 = 4656^2 + 10428^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1304215202 = 34019545758220800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130421493 and 130421502.

It is not an unprimeable number, because it can be changed into a prime (130421527) 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 11 ways as a sum of consecutive naturals, for example, 89851 + ... + 91290.

Almost surely, 2130421520 is an apocalyptic number.

130421520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130421520 is an abundant number, since it is smaller than the sum of its proper divisors (307579836).

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

130421520 is a wasteful number, since it uses less digits than its factorization.

130421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181160 (or 181151 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130421520 is about 11420.2241659260. The cubic root of 130421520 is about 507.1266329343.

Adding to 130421520 its reverse (25124031), we get a palindrome (155545551).

The spelling of 130421520 in words is "one hundred thirty million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 181141 362282 543423 724564 905705 1086846 1449128 1630269 1811410 2173692 2717115 2898256 3260538 3622820 4347384 5434230 6521076 7245640 8151345 8694768 10868460 13042152 14491280 16302690 21736920 26084304 32605380 43473840 65210760 130421520