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663917280 = 253513106397
BaseRepresentation
bin100111100100101…
…001001011100000
31201021021111021220
4213210221023200
52324430323110
6145514015040
722311126615
oct4744511340
91637244256
10663917280
11310844974
12166417480
13a7717880
146426450c
153d446370
hex279292e0

663917280 has 96 divisors (see below), whose sum is σ = 2252232864. Its totient is φ = 163424256.

The previous prime is 663917251. The next prime is 663917281. The reversal of 663917280 is 82719366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663917281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46959 + ... + 59438.

It is an arithmetic number, because the mean of its divisors is an integer number (23460759).

Almost surely, 2663917280 is an apocalyptic number.

663917280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

663917280 is an abundant number, since it is smaller than the sum of its proper divisors (1588315584).

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

663917280 is a wasteful number, since it uses less digits than its factorization.

663917280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106428 (or 106420 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 663917280 is about 25766.5923241705. The cubic root of 663917280 is about 872.3779048260.

The spelling of 663917280 in words is "six hundred sixty-three million, nine hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 106397 212794 319191 425588 531985 638382 851176 1063970 1276764 1383161 1595955 1702352 2127940 2553528 2766322 3191910 3404704 4149483 4255880 5107056 5532644 6383820 6915805 8298966 8511760 10214112 11065288 12767640 13831610 16597932 17023520 20747415 22130576 25535280 27663220 33195864 41494830 44261152 51070560 55326440 66391728 82989660 110652880 132783456 165979320 221305760 331958640 663917280