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66366160 = 2457373203
BaseRepresentation
bin1111110100101…
…0101011010000
311121212202020221
43331022223100
5113442204120
610330242424
71434050230
oct375125320
9147782227
1066366160
1134509973
121a286414
1310998823
148b57cc0
155c5e0aa
hex3f4aad0

66366160 has 80 divisors (see below), whose sum is σ = 181166976. Its totient is φ = 22132224.

The previous prime is 66366151. The next prime is 66366163. The reversal of 66366160 is 6166366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66366163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19119 + ... + 22321.

Almost surely, 266366160 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 66366160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90583488).

66366160 is an abundant number, since it is smaller than the sum of its proper divisors (114800816).

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

66366160 is a wasteful number, since it uses less digits than its factorization.

66366160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 66366160 is about 8146.5428250271. The cubic root of 66366160 is about 404.8699679085.

The spelling of 66366160 in words is "sixty-six million, three hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2590 2960 3203 4144 5180 6406 10360 12812 16015 20720 22421 25624 32030 44842 51248 64060 89684 112105 118511 128120 179368 224210 237022 256240 358736 448420 474044 592555 829577 896840 948088 1185110 1659154 1793680 1896176 2370220 3318308 4147885 4740440 6636616 8295770 9480880 13273232 16591540 33183080 66366160