Search a number
-
+
120595634060 = 225112942414457
BaseRepresentation
bin111000001010000001…
…1110101011110001100
3102112021111221221211012
41300110003311132030
53433434440242220
6131222330544352
711466320655566
oct1602403653614
9375244857735
10120595634060
1147165100880
121b4572980b8
13b4ab714965
145ba04b4336
15320c40eac5
hex1c140f578c

120595634060 has 96 divisors (see below), whose sum is σ = 285931840320. Its totient is φ = 42321305600.

The previous prime is 120595634017. The next prime is 120595634083. The reversal of 120595634060 is 60436595021.

It is a super-3 number, since 3×1205956340603 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120595633999 and 120595634017.

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, 27055352 + ... + 27059808.

It is an arithmetic number, because the mean of its divisors is an integer number (2978456670).

Almost surely, 2120595634060 is an apocalyptic number.

120595634060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120595634060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142965920160).

120595634060 is an abundant number, since it is smaller than the sum of its proper divisors (165336206260).

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

120595634060 is a wasteful number, since it uses less digits than its factorization.

120595634060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8747 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 120595634060 in words is "one hundred twenty billion, five hundred ninety-five million, six hundred thirty-four thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 4241 4457 6380 8482 8914 16964 17828 21205 22285 42410 44570 46651 49027 84820 89140 93302 98054 122989 129253 186604 196108 233255 245135 245978 258506 466510 490270 491956 517012 614945 646265 933020 980540 1229890 1292530 1352879 1421783 2459780 2585060 2705758 2843566 5411516 5687132 6764395 7108915 13528790 14217830 18902137 27057580 28435660 37804274 75608548 94510685 189021370 207923507 378042740 415847014 548161973 831694028 1039617535 1096323946 2079235070 2192647892 2740809865 4158470140 5481619730 6029781703 10963239460 12059563406 24119126812 30148908515 60297817030 120595634060