Search a number
-
+
130009614 = 2374767983
BaseRepresentation
bin1111011111111…
…00101000001110
3100001122011122220
413233330220032
5231240301424
620522320210
73136030530
oct757745016
9301564586
10130009614
1167429169
1237659066
1320c1cc87
14133a3850
15b631579
hex7bfca0e

130009614 has 64 divisors (see below), whose sum is σ = 308330496. Its totient is φ = 35776224.

The previous prime is 130009613. The next prime is 130009631. The reversal of 130009614 is 416900031.

130009614 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130009613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131767 + ... + 132749.

It is an arithmetic number, because the mean of its divisors is an integer number (4817664).

Almost surely, 2130009614 is an apocalyptic number.

130009614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130009614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154165248).

130009614 is an abundant number, since it is smaller than the sum of its proper divisors (178320882).

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

130009614 is a wasteful number, since it uses less digits than its factorization.

130009614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 130009614 is about 11402.1758449868. The cubic root of 130009614 is about 506.5921894414.

Adding to 130009614 its reverse (416900031), we get a palindrome (546909645).

The spelling of 130009614 in words is "one hundred thirty million, nine thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 47 67 94 134 141 201 282 329 402 469 658 938 983 987 1407 1966 1974 2814 2949 3149 5898 6298 6881 9447 13762 18894 20643 22043 41286 44086 46201 65861 66129 92402 131722 132258 138603 197583 277206 323407 395166 461027 646814 922054 970221 1383081 1940442 2766162 3095467 6190934 9286401 18572802 21668269 43336538 65004807 130009614