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63066036 = 223114143271
BaseRepresentation
bin1111000010010…
…0111110110100
311101200002100010
43300210332310
5112121103121
610131420220
71364023665
oct360447664
9141602303
1063066036
11326654a0
1219154670
13100b16a7
14853936c
15580b376
hex3c24fb4

63066036 has 96 divisors (see below), whose sum is σ = 168892416. Its totient is φ = 18144000.

The previous prime is 63066007. The next prime is 63066043.

63066036 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 63065994 and 63066012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232581 + ... + 232851.

It is an arithmetic number, because the mean of its divisors is an integer number (1759296).

Almost surely, 263066036 is an apocalyptic number.

63066036 is a gapful number since it is divisible by the number (66) 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 63066036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84446208).

63066036 is an abundant number, since it is smaller than the sum of its proper divisors (105826380).

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

63066036 is a wasteful number, since it uses less digits than its factorization.

63066036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 63066036 is about 7941.4127206688. The cubic root of 63066036 is about 398.0446992380.

It can be divided in two parts, 630 and 66036, that added together give a palindrome (66666).

The spelling of 63066036 in words is "sixty-three million, sixty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 43 44 66 82 86 123 129 132 164 172 246 258 271 451 473 492 516 542 813 902 946 1084 1353 1419 1626 1763 1804 1892 2706 2838 2981 3252 3526 5289 5412 5676 5962 7052 8943 10578 11111 11653 11924 17886 19393 21156 22222 23306 33333 34959 35772 38786 44444 46612 58179 66666 69918 77572 116358 122221 128183 133332 139836 232716 244442 256366 366663 384549 477773 488884 512732 733326 769098 955546 1433319 1466652 1538196 1911092 2866638 5255503 5733276 10511006 15766509 21022012 31533018 63066036