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563630040 = 233252635953
BaseRepresentation
bin100001100110000…
…100111111011000
31110021120101001200
4201212010333120
52123242130130
6131532314200
716652530161
oct4146047730
91407511050
10563630040
1126a177656
12138912960
138ca033cc
1454bda768
1534736760
hex21984fd8

563630040 has 96 divisors (see below), whose sum is σ = 1839071520. Its totient is φ = 149704704.

The previous prime is 563630027. The next prime is 563630069. The reversal of 563630040 is 40036365.

563630040 is a `hidden beast` number, since 563 + 63 + 0 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 563629986 and 563630013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91704 + ... + 97656.

It is an arithmetic number, because the mean of its divisors is an integer number (19156995).

Almost surely, 2563630040 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 563630040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919535760).

563630040 is an abundant number, since it is smaller than the sum of its proper divisors (1275441480).

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

563630040 is a wasteful number, since it uses less digits than its factorization.

563630040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 563630040 is about 23740.8938332153. The cubic root of 563630040 is about 826.0342291080.

The spelling of 563630040 in words is "five hundred sixty-three million, six hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 263 360 526 789 1052 1315 1578 2104 2367 2630 3156 3945 4734 5260 5953 6312 7890 9468 10520 11835 11906 15780 17859 18936 23670 23812 29765 31560 35718 47340 47624 53577 59530 71436 89295 94680 107154 119060 142872 178590 214308 238120 267885 357180 428616 535770 714360 1071540 1565639 2143080 3131278 4696917 6262556 7828195 9393834 12525112 14090751 15656390 18787668 23484585 28181502 31312780 37575336 46969170 56363004 62625560 70453755 93938340 112726008 140907510 187876680 281815020 563630040