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66039930 = 232511411627
BaseRepresentation
bin1111101111101…
…1000001111010
311121021011202100
43323323001322
5113401234210
610315244230
71431221145
oct373730172
9147234670
1066039930
1134306860
121a149676
13108b31a8
148ab105c
155be75c0
hex3efb07a

66039930 has 96 divisors (see below), whose sum is σ = 191999808. Its totient is φ = 15609600.

The previous prime is 66039913. The next prime is 66039943. The reversal of 66039930 is 3993066.

It is a super-2 number, since 2×660399302 = 8722544708809800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 39777 + ... + 41403.

It is an arithmetic number, because the mean of its divisors is an integer number (1999998).

Almost surely, 266039930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66039930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95999904).

66039930 is an abundant number, since it is smaller than the sum of its proper divisors (125959878).

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

66039930 is a wasteful number, since it uses less digits than its factorization.

66039930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 66039930 is about 8126.4955546656. The cubic root of 66039930 is about 404.2054839727.

The spelling of 66039930 in words is "sixty-six million, thirty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1627 1845 2255 2706 3254 3690 4059 4510 4881 6765 8118 8135 9762 13530 14643 16270 17897 20295 24405 29286 35794 40590 48810 53691 66707 73215 89485 107382 133414 146430 161073 178970 200121 268455 322146 333535 400242 536910 600363 667070 733777 805365 1000605 1200726 1467554 1610730 2001210 2201331 3001815 3668885 4402662 6003630 6603993 7337770 11006655 13207986 22013310 33019965 66039930