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66677380 = 225711291493
BaseRepresentation
bin1111111001011…
…0101010000100
311122110120011121
43332112222010
5114032134010
610341043324
71436514460
oct376265204
9148416147
1066677380
1134701780
121a3b6544
1310a77393
148bd94a0
155cc13da
hex3f96a84

66677380 has 96 divisors (see below), whose sum is σ = 180714240. Its totient is φ = 20052480.

The previous prime is 66677363. The next prime is 66677381. The reversal of 66677380 is 8377666.

It is not an unprimeable number, because it can be changed into a prime (66677381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43914 + ... + 45406.

It is an arithmetic number, because the mean of its divisors is an integer number (1882440).

Almost surely, 266677380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66677380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90357120).

66677380 is an abundant number, since it is smaller than the sum of its proper divisors (114036860).

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

66677380 is a wasteful number, since it uses less digits than its factorization.

66677380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 66677380 is about 8165.6218379251. The cubic root of 66677380 is about 405.5018520940.

The spelling of 66677380 in words is "sixty-six million, six hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1493 1540 1595 2030 2233 2986 3190 4060 4466 5972 6380 7465 8932 10451 11165 14930 16423 20902 22330 29860 32846 41804 43297 44660 52255 65692 82115 86594 104510 114961 164230 173188 209020 216485 229922 303079 328460 432970 459844 476267 574805 606158 865940 952534 1149610 1212316 1515395 1905068 2299220 2381335 3030790 3333869 4762670 6061580 6667738 9525340 13335476 16669345 33338690 66677380