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66141660 = 223513194463
BaseRepresentation
bin1111110001001…
…1110111011100
311121110100022010
43330103313130
5113413013120
610321351220
71432123554
oct374236734
9147410263
1066141660
1134376232
121a198510
131091a5a0
148ada164
155c177e0
hex3f13ddc

66141660 has 96 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 15420672.

The previous prime is 66141659. The next prime is 66141667. The reversal of 66141660 is 6614166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66141667) 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 31 ways as a sum of consecutive naturals, for example, 12589 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 266141660 is an apocalyptic number.

66141660 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 66141660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

66141660 is an abundant number, since it is smaller than the sum of its proper divisors (143844900).

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

66141660 is a wasteful number, since it uses less digits than its factorization.

66141660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66141660 is about 8132.7523016504. The cubic root of 66141660 is about 404.4129278017.

The spelling of 66141660 in words is "sixty-six million, one hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4463 4940 7410 8926 13389 14820 17852 22315 26778 44630 53556 58019 66945 84797 89260 116038 133890 169594 174057 232076 254391 267780 290095 339188 348114 423985 508782 580190 696228 847970 870285 1017564 1102361 1160380 1271955 1695940 1740570 2204722 2543910 3307083 3481140 4409444 5087820 5511805 6614166 11023610 13228332 16535415 22047220 33070830 66141660