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1020566664 = 233213283873
BaseRepresentation
bin111100110101001…
…001110010001000
32122010101011021100
4330311021302020
54042231113124
6245134141400
734201450005
oct7465116210
92563334240
101020566664
114840a0927
12245951860
1313358b500
14997828ac
155e8e51c9
hex3cd49c88

1020566664 has 72 divisors (see below), whose sum is σ = 2993043690. Its totient is φ = 314016768.

The previous prime is 1020566653. The next prime is 1020566681. The reversal of 1020566664 is 4666650201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 273637764 + 746928900 = 16542^2 + 27330^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29769 + ... + 54104.

Almost surely, 21020566664 is an apocalyptic number.

It is an amenable number.

1020566664 is an abundant number, since it is smaller than the sum of its proper divisors (1972477026).

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

1020566664 is a wasteful number, since it uses less digits than its factorization.

1020566664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83911 (or 83891 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1020566664 is about 31946.3090825842. The cubic root of 1020566664 is about 1006.8090857861.

The spelling of 1020566664 in words is "one billion, twenty million, five hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 83873 167746 251619 335492 503238 670984 754857 1006476 1090349 1509714 2012952 2180698 3019428 3271047 4361396 6038856 6542094 8722792 9813141 13084188 14174537 19626282 26168376 28349074 39252564 42523611 56698148 78505128 85047222 113396296 127570833 170094444 255141666 340188888 510283332 1020566664