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66512490 = 23511273251
BaseRepresentation
bin1111110110111…
…0011001101010
311122011011222120
43331232121222
5114011344430
610333332110
71435226652
oct375563152
9148134876
1066512490
11345a9900
121a337036
1310a1a305
148b95362
155c8c610
hex3f6e66a

66512490 has 96 divisors (see below), whose sum is σ = 178573248. Its totient is φ = 15840000.

The previous prime is 66512489. The next prime is 66512497. The reversal of 66512490 is 9421566.

It is a super-2 number, since 2×665124902 = 8847822652000200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66512497) 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, 264865 + ... + 265115.

It is an arithmetic number, because the mean of its divisors is an integer number (1860138).

Almost surely, 266512490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66512490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89286624).

66512490 is an abundant number, since it is smaller than the sum of its proper divisors (112060758).

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

66512490 is a wasteful number, since it uses less digits than its factorization.

66512490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 66512490 is about 8155.5189902299. The cubic root of 66512490 is about 405.1673138905.

The spelling of 66512490 in words is "sixty-six million, five hundred twelve thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 121 146 165 219 242 251 330 363 365 438 502 605 726 730 753 803 1095 1210 1255 1506 1606 1815 2190 2409 2510 2761 3630 3765 4015 4818 5522 7530 8030 8283 8833 12045 13805 16566 17666 18323 24090 26499 27610 30371 36646 41415 44165 52998 54969 60742 82830 88330 91113 91615 109938 132495 151855 182226 183230 201553 264990 274845 303710 403106 455565 549690 604659 911130 1007765 1209318 2015530 2217083 3023295 4434166 6046590 6651249 11085415 13302498 22170830 33256245 66512490