Search a number
-
+
60054012 = 223223294161
BaseRepresentation
bin1110010100010…
…1100111111100
311012000001121200
43211011213330
5110333212022
65543055500
71326310404
oct345054774
9135001550
1060054012
1130998517
1218141590
13c598725
147d93804
155413bac
hex39459fc

60054012 has 144 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 17740800.

The previous prime is 60053993. The next prime is 60054023. The reversal of 60054012 is 21045006.

It is a happy number.

60054012 is a `hidden beast` number, since 600 + 54 + 0 + 12 = 666.

It is a super-2 number, since 2×600540122 = 7212968714592288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 984462 + ... + 984522.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 260054012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60054012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

60054012 is an abundant number, since it is smaller than the sum of its proper divisors (110560068).

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

60054012 is a wasteful number, since it uses less digits than its factorization.

60054012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 60054012 is about 7749.4523677483. The cubic root of 60054012 is about 391.6042010134.

Adding to 60054012 its reverse (21045006), we get a palindrome (81099018).

The spelling of 60054012 in words is "sixty million, fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 41 46 58 61 69 82 87 92 116 122 123 138 164 174 183 207 244 246 261 276 348 366 369 414 492 522 549 667 732 738 828 943 1044 1098 1189 1334 1403 1476 1769 1886 2001 2196 2378 2501 2668 2806 2829 3538 3567 3772 4002 4209 4756 5002 5307 5612 5658 6003 7076 7134 7503 8004 8418 8487 10004 10614 10701 11316 12006 12627 14268 15006 15921 16836 16974 21228 21402 22509 24012 25254 27347 30012 31842 33948 40687 42804 45018 50508 54694 57523 63684 72529 81374 82041 90036 109388 115046 122061 145058 162748 164082 172569 217587 230092 244122 246123 290116 328164 345138 366183 435174 488244 492246 517707 652761 690276 732366 870348 984492 1035414 1305522 1464732 1668167 2070828 2611044 3336334 5004501 6672668 10009002 15013503 20018004 30027006 60054012