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66580380 = 2234573563
BaseRepresentation
bin1111110111111…
…0111110011100
311122021122010000
43331332332130
5114021033010
610335014300
71435631616
oct375767634
9148248100
1066580380
1134645909
121a36a390
1310a42199
148bb1db6
155ca27c0
hex3f7ef9c

66580380 has 120 divisors (see below), whose sum is σ = 212102352. Its totient is φ = 17480448.

The previous prime is 66580369. The next prime is 66580387. The reversal of 66580380 is 8308566.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66580387) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117979 + ... + 118541.

Almost surely, 266580380 is an apocalyptic number.

66580380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66580380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106051176).

66580380 is an abundant number, since it is smaller than the sum of its proper divisors (145521972).

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

66580380 is a wasteful number, since it uses less digits than its factorization.

66580380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66580380 is about 8159.6801407898. The cubic root of 66580380 is about 405.3051198646.

The spelling of 66580380 in words is "sixty-six million, five hundred eighty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 81 90 108 135 146 162 180 219 270 292 324 365 405 438 540 563 657 730 810 876 1095 1126 1314 1460 1620 1689 1971 2190 2252 2628 2815 3285 3378 3942 4380 5067 5630 5913 6570 6756 7884 8445 9855 10134 11260 11826 13140 15201 16890 19710 20268 23652 25335 29565 30402 33780 39420 41099 45603 50670 59130 60804 76005 82198 91206 101340 118260 123297 152010 164396 182412 205495 228015 246594 304020 369891 410990 456030 493188 616485 739782 821980 912060 1109673 1232970 1479564 1849455 2219346 2465940 3329019 3698910 4438692 5548365 6658038 7397820 11096730 13316076 16645095 22193460 33290190 66580380