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66246570 = 232513411381
BaseRepresentation
bin1111110010110…
…1011110101010
311121122200012200
43330231132222
5113424342240
610323521030
71433041455
oct374553652
9147580180
1066246570
1134438035
121a229176
1310956270
148b2649c
155c38930
hex3f2d7aa

66246570 has 96 divisors (see below), whose sum is σ = 190152144. Its totient is φ = 15897600.

The previous prime is 66246553. The next prime is 66246571. The reversal of 66246570 is 7564266.

66246570 is a `hidden beast` number, since 66 + 24 + 6 + 570 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2996361 + 63250209 = 1731^2 + 7953^2 .

It is not an unprimeable number, because it can be changed into a prime (66246571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47280 + ... + 48660.

Almost surely, 266246570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66246570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95076072).

66246570 is an abundant number, since it is smaller than the sum of its proper divisors (123905574).

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

66246570 is a wasteful number, since it uses less digits than its factorization.

66246570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 66246570 is about 8139.1995920975. The cubic root of 66246570 is about 404.6266334968.

The spelling of 66246570 in words is "sixty-six million, two hundred forty-six thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 234 246 369 390 410 533 585 615 738 1066 1170 1230 1381 1599 1845 2665 2762 3198 3690 4143 4797 5330 6905 7995 8286 9594 12429 13810 15990 17953 20715 23985 24858 35906 41430 47970 53859 56621 62145 89765 107718 113242 124290 161577 169863 179530 269295 283105 323154 339726 509589 538590 566210 736073 807885 849315 1019178 1472146 1615770 1698630 2208219 2547945 3680365 4416438 5095890 6624657 7360730 11041095 13249314 22082190 33123285 66246570