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66716860 = 22572292081
BaseRepresentation
bin1111111010000…
…0010010111100
311122112120022211
43332200102330
5114034414420
610341550204
71440040540
oct376402274
9148476284
1066716860
1134729401
121a415364
1310a8c342
148c09a20
155ccce5a
hex3fa04bc

66716860 has 48 divisors (see below), whose sum is σ = 160896960. Its totient is φ = 22763520.

The previous prime is 66716821. The next prime is 66716869. The reversal of 66716860 is 6861766.

It is a super-2 number, since 2×667168602 = 8902278816519200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66716869) 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, 31020 + ... + 33100.

It is an arithmetic number, because the mean of its divisors is an integer number (3352020).

Almost surely, 266716860 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 66716860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80448480).

66716860 is an abundant number, since it is smaller than the sum of its proper divisors (94180100).

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

66716860 is a wasteful number, since it uses less digits than its factorization.

66716860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 66716860 is about 8168.0389323264. The cubic root of 66716860 is about 405.5818695074.

It can be divided in two parts, 66716 and 860, that added together give a palindrome (67576).

The spelling of 66716860 in words is "sixty-six million, seven hundred sixteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 458 916 1145 1603 2081 2290 3206 4162 4580 6412 8015 8324 10405 14567 16030 20810 29134 32060 41620 58268 72835 145670 291340 476549 953098 1906196 2382745 3335843 4765490 6671686 9530980 13343372 16679215 33358430 66716860