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663285780 = 223353074001
BaseRepresentation
bin100111100010001…
…111000000010100
31201020002102001000
4213202033000110
52324300121110
6145452303300
722302556533
oct4742170024
91636072030
10663285780
11310453473
12166171b30
13a75562c1
146413c31a
153d36e1c0
hex2788f014

663285780 has 96 divisors (see below), whose sum is σ = 2070794880. Its totient is φ = 176256000.

The previous prime is 663285773. The next prime is 663285781. The reversal of 663285780 is 87582366.

663285780 is a `hidden beast` number, since 6 + 632 + 8 + 5 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663285781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163780 + ... + 167780.

It is an arithmetic number, because the mean of its divisors is an integer number (21570780).

Almost surely, 2663285780 is an apocalyptic number.

663285780 is a gapful number since it is divisible by the number (60) 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 663285780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035397440).

663285780 is an abundant number, since it is smaller than the sum of its proper divisors (1407509100).

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

663285780 is a wasteful number, since it uses less digits than its factorization.

663285780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 663285780 is about 25754.3351690545. The cubic root of 663285780 is about 872.1012230641.

The spelling of 663285780 in words is "six hundred sixty-three million, two hundred eighty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 307 540 614 921 1228 1535 1842 2763 3070 3684 4001 4605 5526 6140 8002 8289 9210 11052 12003 13815 16004 16578 18420 20005 24006 27630 33156 36009 40010 41445 48012 55260 60015 72018 80020 82890 108027 120030 144036 165780 180045 216054 240060 360090 432108 540135 720180 1080270 1228307 2160540 2456614 3684921 4913228 6141535 7369842 11054763 12283070 14739684 18424605 22109526 24566140 33164289 36849210 44219052 55273815 66328578 73698420 110547630 132657156 165821445 221095260 331642890 663285780