Search a number
-
+
130060765920 = 2535270959929
BaseRepresentation
bin111100100100000111…
…0011100101011100000
3110102201011021110210110
41321020032130223200
54112331024002140
6135425445331320
712253012161321
oct1711016345340
9412634243713
10130060765920
1150181a034a8
1221259106b40
13c35965c2b7
14641b5a6448
1535b3368380
hex1e4839cae0

130060765920 has 48 divisors (see below), whose sum is σ = 409691414160. Its totient is φ = 34682870784.

The previous prime is 130060765903. The next prime is 130060765921. The reversal of 130060765920 is 29567060031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130060765921) 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 7 ways as a sum of consecutive naturals, for example, 135479485 + ... + 135480444.

It is an arithmetic number, because the mean of its divisors is an integer number (8535237795).

Almost surely, 2130060765920 is an apocalyptic number.

130060765920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130060765920 is an abundant number, since it is smaller than the sum of its proper divisors (279630648240).

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

130060765920 is a wasteful number, since it uses less digits than its factorization.

130060765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270959947 (or 270959939 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 130060765920 in words is "one hundred thirty billion, sixty million, seven hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 270959929 541919858 812879787 1083839716 1354799645 1625759574 2167679432 2709599290 3251519148 4064398935 4335358864 5419198580 6503038296 8128797870 8670717728 10838397160 13006076592 16257595740 21676794320 26012153184 32515191480 43353588640 65030382960 130060765920