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66202160 = 2451316317
BaseRepresentation
bin1111110010001…
…0101000110000
311121120102021212
43330202220300
5113421432120
610322535252
71432465133
oct374425060
9147512255
1066202160
1134407732
121a207528
131093bc9b
148b1421a
155c2a6c5
hex3f22a30

66202160 has 40 divisors (see below), whose sum is σ = 155119536. Its totient is φ = 26274560.

The previous prime is 66202153. The next prime is 66202163. The reversal of 66202160 is 6120266.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (66202163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7322 + ... + 13638.

Almost surely, 266202160 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 66202160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77559768).

66202160 is an abundant number, since it is smaller than the sum of its proper divisors (88917376).

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

66202160 is a wasteful number, since it uses less digits than its factorization.

66202160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 66202160 is about 8136.4709794849. The cubic root of 66202160 is about 404.5361961821.

The spelling of 66202160 in words is "sixty-six million, two hundred two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 6317 10480 12634 25268 31585 50536 63170 101072 126340 252680 505360 827527 1655054 3310108 4137635 6620216 8275270 13240432 16550540 33101080 66202160