Search a number
-
+
130313024 = 2617119773
BaseRepresentation
bin1111100010001…
…10101101000000
3100002012120212022
413301012231000
5231330004044
620533021012
73141433232
oct761065500
9302176768
10130313024
1167616116
1237784768
1320cc80ca
1413442252
15b6913ee
hex7c46b40

130313024 has 28 divisors (see below), whose sum is σ = 273803364. Its totient is φ = 61323264.

The previous prime is 130313017. The next prime is 130313059. The reversal of 130313024 is 420313031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 110670400 + 19642624 = 10520^2 + 4432^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 130312993 and 130313011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58799 + ... + 60974.

Almost surely, 2130313024 is an apocalyptic number.

It is an amenable number.

130313024 is an abundant number, since it is smaller than the sum of its proper divisors (143490340).

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

130313024 is a wasteful number, since it uses less digits than its factorization.

130313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119802 (or 119792 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 130313024 is about 11415.4730081587. The cubic root of 130313024 is about 506.9859698613.

Adding to 130313024 its reverse (420313031), we get a palindrome (550626055).

The spelling of 130313024 in words is "one hundred thirty million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 119773 239546 479092 958184 1916368 2036141 3832736 4072282 7665472 8144564 16289128 32578256 65156512 130313024