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566432240 = 245111016373
BaseRepresentation
bin100001110000110…
…001000111110000
31110110211201221212
4201300301013300
52130001312430
6132112335252
720015410643
oct4160610760
91413751855
10566432240
11270810a20
12139844528
1390474a0a
1455329a5a
1534adbb95
hex21c311f0

566432240 has 80 divisors (see below), whose sum is σ = 1451130336. Its totient is φ = 203904000.

The previous prime is 566432227. The next prime is 566432303. The reversal of 566432240 is 42234665.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5664322402 = 641690965022835200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 566432197 and 566432206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85694 + ... + 92066.

Almost surely, 2566432240 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 566432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725565168).

566432240 is an abundant number, since it is smaller than the sum of its proper divisors (884698096).

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

566432240 is a wasteful number, since it uses less digits than its factorization.

566432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6498 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 566432240 is about 23799.8369742316. The cubic root of 566432240 is about 827.4008984316.

The spelling of 566432240 in words is "five hundred sixty-six million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 6373 8080 8888 11110 12746 17776 22220 25492 31865 44440 50984 63730 70103 88880 101968 127460 140206 254920 280412 350515 509840 560824 643673 701030 1121648 1287346 1402060 2574692 2804120 3218365 5149384 5608240 6436730 7080403 10298768 12873460 14160806 25746920 28321612 35402015 51493840 56643224 70804030 113286448 141608060 283216120 566432240