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66317104 = 247896653
BaseRepresentation
bin1111110011111…
…0101100110000
311121210020222001
43330332230300
5113434121404
610325223344
71433454220
oct374765460
9147706861
1066317104
1134486027
121a261b54
131097c3b9
148b44080
155c4e7a4
hex3f3eb30

66317104 has 40 divisors (see below), whose sum is σ = 148517280. Its totient is φ = 28098048.

The previous prime is 66317099. The next prime is 66317107. The reversal of 66317104 is 40171366.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (66317107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6642 + ... + 13294.

It is an arithmetic number, because the mean of its divisors is an integer number (3712932).

Almost surely, 266317104 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 66317104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74258640).

66317104 is an abundant number, since it is smaller than the sum of its proper divisors (82200176).

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

66317104 is a wasteful number, since it uses less digits than its factorization.

66317104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6757 (or 6751 counting only the distinct ones).

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

The square root of 66317104 is about 8143.5314207044. The cubic root of 66317104 is about 404.7701871528.

The spelling of 66317104 in words is "sixty-six million, three hundred seventeen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 356 623 712 1246 1424 2492 4984 6653 9968 13306 26612 46571 53224 93142 106448 186284 372568 592117 745136 1184234 2368468 4144819 4736936 8289638 9473872 16579276 33158552 66317104