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66116180 = 22513231631
BaseRepresentation
bin1111110000110…
…1101001010100
311121102001100102
43330031221110
5113411204210
610321033232
71431656354
oct374155124
9147361312
1066116180
1134359079
121a185818
131090bb00
148ad0b64
155c0eea5
hex3f0da54

66116180 has 72 divisors (see below), whose sum is σ = 155441664. Its totient is φ = 23587200.

The previous prime is 66116119. The next prime is 66116227. The reversal of 66116180 is 8161166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104465 + ... + 105095.

It is an arithmetic number, because the mean of its divisors is an integer number (2158912).

Almost surely, 266116180 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 66116180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77720832).

66116180 is an abundant number, since it is smaller than the sum of its proper divisors (89325484).

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

66116180 is a wasteful number, since it uses less digits than its factorization.

66116180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 66116180 is about 8131.1856454025. The cubic root of 66116180 is about 404.3609899615.

The spelling of 66116180 in words is "sixty-six million, one hundred sixteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 169 260 310 338 403 620 631 676 806 845 1262 1612 1690 2015 2524 3155 3380 4030 5239 6310 8060 8203 10478 12620 16406 19561 20956 26195 32812 39122 41015 52390 78244 82030 97805 104780 106639 164060 195610 213278 254293 391220 426556 508586 533195 1017172 1066390 1271465 2132780 2542930 3305809 5085860 6611618 13223236 16529045 33058090 66116180