Search a number
-
+
120760575054 = 2379730796553
BaseRepresentation
bin111000001110111100…
…1000010010001001110
3102112201000022211022220
41300131321002101032
53434304201400204
6131250542120210
711503362644250
oct1603571022116
9375630284286
10120760575054
114723a218449
121b4a2580066
13b506945392
145bb836bcd0
15321bb411d9
hex1c1de4244e

120760575054 has 64 divisors (see below), whose sum is σ = 279781049856. Its totient is φ = 34035738624.

The previous prime is 120760575043. The next prime is 120760575077. The reversal of 120760575054 is 450575067021.

It is a happy number.

120760575054 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 120760574997 and 120760575015.

It is a congruent number.

It is an unprimeable number.

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, 1202442 + ... + 1298994.

It is an arithmetic number, because the mean of its divisors is an integer number (4371578904).

Almost surely, 2120760575054 is an apocalyptic number.

120760575054 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 120760575054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139890524928).

120760575054 is an abundant number, since it is smaller than the sum of its proper divisors (159020474802).

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

120760575054 is a wasteful number, since it uses less digits than its factorization.

120760575054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96969.

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 120760575054 in words is "one hundred twenty billion, seven hundred sixty million, five hundred seventy-five thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 97 194 291 307 582 614 679 921 1358 1842 2037 2149 4074 4298 6447 12894 29779 59558 89337 96553 178674 193106 208453 289659 416906 579318 625359 675871 1250718 1351742 2027613 4055226 9365641 18731282 28096923 29641771 56193846 59283542 65559487 88925313 131118974 177850626 196678461 207492397 393356922 414984794 622477191 1244954382 2875251787 5750503574 8625755361 17251510722 20126762509 40253525018 60380287527 120760575054