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663212560 = 24511936949
BaseRepresentation
bin100111100001111…
…101001000010000
31201012221200121011
4213201331020100
52324240300220
6145450540304
722302133213
oct4741751020
91635850534
10663212560
1131040345a
12166137694
13a752bb8a
146411d77a
153d35765a
hex2787d210

663212560 has 40 divisors (see below), whose sum is σ = 1543483800. Its totient is φ = 265024512.

The previous prime is 663212533. The next prime is 663212587. The reversal of 663212560 is 65212366.

It is an interprime number because it is at equal distance from previous prime (663212533) and next prime (663212587).

It can be written as a sum of positive squares in 4 ways, for example, as 175509504 + 487703056 = 13248^2 + 22084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 91966 + ... + 98914.

It is an arithmetic number, because the mean of its divisors is an integer number (38587095).

Almost surely, 2663212560 is an apocalyptic number.

It is an amenable number.

663212560 is an abundant number, since it is smaller than the sum of its proper divisors (880271240).

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

663212560 is a wasteful number, since it uses less digits than its factorization.

663212560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155 (or 8149 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 663212560 is about 25752.9136215691. The cubic root of 663212560 is about 872.0691315166.

The spelling of 663212560 in words is "six hundred sixty-three million, two hundred twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1193 2386 4772 5965 6949 9544 11930 13898 19088 23860 27796 34745 47720 55592 69490 95440 111184 138980 277960 555920 8290157 16580314 33160628 41450785 66321256 82901570 132642512 165803140 331606280 663212560