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63130536 = 2333743971
BaseRepresentation
bin1111000011010…
…0101110101000
311101210100211000
43300310232220
5112130134121
610133035000
71364413020
oct360645650
9141710730
1063130536
11326a99a7
1219185a60
1310104b61
148554a80
155820526
hex3c34ba8

63130536 has 128 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 17599680.

The previous prime is 63130523. The next prime is 63130577. The reversal of 63130536 is 63503136.

63130536 is digitally balanced in base 2, 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64531 + ... + 65501.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 263130536 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 63130536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

63130536 is an abundant number, since it is smaller than the sum of its proper divisors (142155864).

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

63130536 is a wasteful number, since it uses less digits than its factorization.

63130536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 63130536 is about 7945.4726731643. The cubic root of 63130536 is about 398.1803514165.

The spelling of 63130536 in words is "sixty-three million, one hundred thirty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 344 378 387 504 516 602 756 774 903 971 1032 1161 1204 1512 1548 1806 1942 2322 2408 2709 2913 3096 3612 3884 4644 5418 5826 6797 7224 7768 8127 8739 9288 10836 11652 13594 16254 17478 20391 21672 23304 26217 27188 32508 34956 40782 41753 52434 54376 61173 65016 69912 81564 83506 104868 122346 125259 163128 167012 183519 209736 244692 250518 292271 334024 367038 375777 489384 501036 584542 734076 751554 876813 1002072 1127331 1169084 1468152 1503108 1753626 2254662 2338168 2630439 3006216 3507252 4509324 5260878 7014504 7891317 9018648 10521756 15782634 21043512 31565268 63130536