Search a number
-
+
130414128 = 24313208997
BaseRepresentation
bin1111100010111…
…11011000110000
3100002101201112220
413301133120300
5231341223003
620535121040
73142334055
oct761373060
9302351486
10130414128
1167685079
1237813180
1321032130
141346b02c
15b6b1353
hex7c5f630

130414128 has 40 divisors (see below), whose sum is σ = 362820528. Its totient is φ = 40127232.

The previous prime is 130414111. The next prime is 130414133. The reversal of 130414128 is 821414031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130414098 and 130414107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103875 + ... + 105122.

Almost surely, 2130414128 is an apocalyptic number.

It is an amenable number.

130414128 is an abundant number, since it is smaller than the sum of its proper divisors (232406400).

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

130414128 is a wasteful number, since it uses less digits than its factorization.

130414128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209021 (or 209015 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 130414128 is about 11419.9005249608. The cubic root of 130414128 is about 507.1170518189.

Adding to 130414128 its reverse (821414031), we get a palindrome (951828159).

The spelling of 130414128 in words is "one hundred thirty million, four hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 208997 417994 626991 835988 1253982 1671976 2507964 2716961 3343952 5015928 5433922 8150883 10031856 10867844 16301766 21735688 32603532 43471376 65207064 130414128