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66057560 = 2354147857
BaseRepresentation
bin1111101111111…
…1010101011000
311121022001221022
43323333111120
5113402320220
610315502012
71431323432
oct373772530
9147261838
1066057560
1134319028
121a157908
13108bb21a
148ab7652
155bec925
hex3eff558

66057560 has 64 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 25200640.

The previous prime is 66057553. The next prime is 66057581. The reversal of 66057560 is 6575066.

It is a self number, because there is not a number n which added to its sum of digits gives 66057560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76652 + ... + 77508.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 266057560 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 66057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

66057560 is an abundant number, since it is smaller than the sum of its proper divisors (89617960).

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

66057560 is a wasteful number, since it uses less digits than its factorization.

66057560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 66057560 is about 8127.5802056947. The cubic root of 66057560 is about 404.2414496308.

The spelling of 66057560 in words is "sixty-six million, fifty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 164 188 205 235 328 376 410 470 820 857 940 1640 1714 1880 1927 3428 3854 4285 6856 7708 8570 9635 15416 17140 19270 34280 35137 38540 40279 70274 77080 80558 140548 161116 175685 201395 281096 322232 351370 402790 702740 805580 1405480 1611160 1651439 3302878 6605756 8257195 13211512 16514390 33028780 66057560