Search a number
-
+
120825230960 = 2457257753419
BaseRepresentation
bin111000010000110111…
…1101011011001110000
3102112212111222200120002
41300201233223121300
53434422224342320
6131301212005132
711505106342400
oct1604157533160
9375774880502
10120825230960
1147272769385
121b5001607a8
13b517162605
145bc2b9c800
153222663675
hex1c21beb670

120825230960 has 120 divisors (see below), whose sum is σ = 327355409520. Its totient is φ = 41353224192.

The previous prime is 120825230947. The next prime is 120825230963. The reversal of 120825230960 is 69032528021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120825230963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2235131 + ... + 2288549.

It is an arithmetic number, because the mean of its divisors is an integer number (2727961746).

Almost surely, 2120825230960 is an apocalyptic number.

120825230960 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 120825230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163677704760).

120825230960 is an abundant number, since it is smaller than the sum of its proper divisors (206530178560).

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

120825230960 is a wasteful number, since it uses less digits than its factorization.

120825230960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54023 (or 54010 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

Adding to 120825230960 its reverse (69032528021), we get a palindrome (189857758981).

The spelling of 120825230960 in words is "one hundred twenty billion, eight hundred twenty-five million, two hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 577 784 980 1154 1960 2308 2885 3920 4039 4616 5770 8078 9232 11540 16156 20195 23080 28273 32312 40390 46160 53419 56546 64624 80780 106838 113092 141365 161560 213676 226184 267095 282730 323120 373933 427352 452368 534190 565460 747866 854704 1068380 1130920 1495732 1869665 2136760 2261840 2617531 2991464 3739330 4273520 5235062 5982928 7478660 10470124 13087655 14957320 20940248 26175310 29914640 30822763 41880496 52350620 61645526 104701240 123291052 154113815 209402480 215759341 246582104 308227630 431518682 493164208 616455260 863037364 1078796705 1232910520 1510315387 1726074728 2157593410 2465821040 3020630774 3452149456 4315186820 6041261548 7551576935 8630373640 12082523096 15103153870 17260747280 24165046192 30206307740 60412615480 120825230960