Search a number
-
+
130024420 = 2256501221
BaseRepresentation
bin1111100000000…
…00001111100100
3100001122220222021
413300000033210
5231241240140
620522512524
73136121641
oct760001744
9301586867
10130024420
11674392a9
1237665744
1320c26936
14133a8dc8
15b635b4a
hex7c003e4

130024420 has 12 divisors (see below), whose sum is σ = 273051324. Its totient is φ = 52009760.

The previous prime is 130024393. The next prime is 130024457. The reversal of 130024420 is 24420031.

It can be written as a sum of positive squares in 2 ways, for example, as 31181056 + 98843364 = 5584^2 + 9942^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130024394 and 130024403.

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 3 ways as a sum of consecutive naturals, for example, 3250591 + ... + 3250630.

It is an arithmetic number, because the mean of its divisors is an integer number (22754277).

Almost surely, 2130024420 is an apocalyptic number.

130024420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130024420 is an abundant number, since it is smaller than the sum of its proper divisors (143026904).

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

130024420 is a wasteful number, since it uses less digits than its factorization.

130024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501230 (or 6501228 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 130024420 is about 11402.8250885471. The cubic root of 130024420 is about 506.6114196070.

Adding to 130024420 its reverse (24420031), we get a palindrome (154444451).

The spelling of 130024420 in words is "one hundred thirty million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6501221 13002442 26004884 32506105 65012210 130024420