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663065040 = 2435111913219
BaseRepresentation
bin100111100001011…
…001000111010000
31201012200012020110
4213201121013100
52324221040130
6145443441320
722300650141
oct4741310720
91635605213
10663065040
11310312640
12166086240
13a74a99a1
14640c1ac8
153d328ab0
hex278591d0

663065040 has 160 divisors (see below), whose sum is σ = 2360563200. Its totient is φ = 152271360.

The previous prime is 663065027. The next prime is 663065057. The reversal of 663065040 is 40560366.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 663064989 and 663065007.

It is a congruent number.

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, 43551 + ... + 56769.

It is an arithmetic number, because the mean of its divisors is an integer number (14753520).

Almost surely, 2663065040 is an apocalyptic number.

663065040 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 663065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180281600).

663065040 is an abundant number, since it is smaller than the sum of its proper divisors (1697498160).

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

663065040 is a wasteful number, since it uses less digits than its factorization.

663065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 663065040 is about 25750.0493203411. The cubic root of 663065040 is about 872.0044678951.

The spelling of 663065040 in words is "six hundred sixty-three million, sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 13219 16720 25080 26438 39657 50160 52876 66095 79314 105752 132190 145409 158628 198285 211504 251161 264380 290818 317256 396570 436227 502322 528760 581636 634512 727045 753483 793140 872454 1004644 1057520 1163272 1255805 1454090 1506966 1586280 1744908 2009288 2181135 2326544 2511610 2762771 2908180 3013932 3172560 3489816 3767415 4018576 4362270 5023220 5525542 5816360 6027864 6979632 7534830 8288313 8724540 10046440 11051084 11632720 12055728 13813855 15069660 16576626 17449080 20092880 22102168 27627710 30139320 33153252 34898160 41441565 44204336 55255420 60278640 66306504 82883130 110510840 132613008 165766260 221021680 331532520 663065040