Search a number
-
+
130042416 = 2437387031
BaseRepresentation
bin1111100000001…
…00101000110000
3100001200211122210
413300010220300
5231242324131
620523132120
73136225260
oct760045060
9301624583
10130042416
1167450879
1237674040
1320c31b9a
14133b17a0
15b63b146
hex7c04a30

130042416 has 40 divisors (see below), whose sum is σ = 383935744. Its totient is φ = 37154880.

The previous prime is 130042397. The next prime is 130042417. The reversal of 130042416 is 614240031.

It is a super-2 number, since 2×1300424162 = 33822059918234112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130042392 and 130042401.

It is not an unprimeable number, because it can be changed into a prime (130042417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193180 + ... + 193851.

Almost surely, 2130042416 is an apocalyptic number.

130042416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130042416 is an abundant number, since it is smaller than the sum of its proper divisors (253893328).

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

130042416 is a wasteful number, since it uses less digits than its factorization.

130042416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387049 (or 387043 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 130042416 is about 11403.6141639394. The cubic root of 130042416 is about 506.6347910079.

Adding to 130042416 its reverse (614240031), we get a palindrome (744282447).

The spelling of 130042416 in words is "one hundred thirty million, forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 387031 774062 1161093 1548124 2322186 2709217 3096248 4644372 5418434 6192496 8127651 9288744 10836868 16255302 18577488 21673736 32510604 43347472 65021208 130042416