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66117304 = 23112167409
BaseRepresentation
bin1111110000110…
…1111010111000
311121102002220001
43330031322320
5113411223204
610321042344
71431662551
oct374157270
9147362801
1066117304
1134359a00
121a1863b4
131090c486
148ad1328
155c104a4
hex3f0deb8

66117304 has 48 divisors (see below), whose sum is σ = 137415600. Its totient is φ = 29800320.

The previous prime is 66117257. The next prime is 66117319. The reversal of 66117304 is 40371166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161452 + ... + 161860.

It is an arithmetic number, because the mean of its divisors is an integer number (2862825).

Almost surely, 266117304 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 66117304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68707800).

66117304 is an abundant number, since it is smaller than the sum of its proper divisors (71298296).

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

66117304 is a wasteful number, since it uses less digits than its factorization.

66117304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 66117304 is about 8131.2547617204. The cubic root of 66117304 is about 404.3632813783.

It can be divided in two parts, 66 and 117304, that added together give a triangular number (117370 = T484).

The spelling of 66117304 in words is "sixty-six million, one hundred seventeen thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 167 242 334 409 484 668 818 968 1336 1636 1837 3272 3674 4499 7348 8998 14696 17996 20207 35992 40414 49489 68303 80828 98978 136606 161656 197956 273212 395912 546424 751333 1502666 3005332 6010664 8264663 16529326 33058652 66117304