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66712086 = 234789661
BaseRepresentation
bin1111111001111…
…1001000010110
311122112022210000
43332133020112
5114034241321
610341512130
71440020610
oct376371026
9148468700
1066712086
1134725861
121a412646
1310a8a10c
148c07db0
155ccb826
hex3f9f216

66712086 has 80 divisors (see below), whose sum is σ = 173020320. Its totient is φ = 18817920.

The previous prime is 66712027. The next prime is 66712091. The reversal of 66712086 is 68021766.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 66712086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100596 + ... + 101256.

It is an arithmetic number, because the mean of its divisors is an integer number (2162754).

Almost surely, 266712086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66712086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86510160).

66712086 is an abundant number, since it is smaller than the sum of its proper divisors (106308234).

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

66712086 is a wasteful number, since it uses less digits than its factorization.

66712086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 66712086 is about 8167.7466904894. The cubic root of 66712086 is about 405.5721953210.

The spelling of 66712086 in words is "sixty-six million, seven hundred twelve thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 89 126 162 178 189 267 378 534 567 623 661 801 1134 1246 1322 1602 1869 1983 2403 3738 3966 4627 4806 5607 5949 7209 9254 11214 11898 13881 14418 16821 17847 27762 33642 35694 41643 50463 53541 58829 83286 100926 107082 117658 124929 176487 249858 352974 374787 411803 529461 749574 823606 1058922 1235409 1588383 2470818 3176766 3706227 4765149 7412454 9530298 11118681 22237362 33356043 66712086