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66930 = 2352397
BaseRepresentation
bin10000010101110010
310101210220
4100111302
54120210
61233510
7366063
oct202562
9111726
1066930
1146316
1232896
1324606
141a56a
1514c70
hex10572

66930 has 32 divisors (see below), whose sum is σ = 169344. Its totient is φ = 16896.

The previous prime is 66923. The next prime is 66931. The reversal of 66930 is 3966.

It is a self number, because there is not a number n which added to its sum of digits gives 66930.

It is not an unprimeable number, because it can be changed into a prime (66931) by changing a digit.

66930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

266930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

66930 is an abundant number, since it is smaller than the sum of its proper divisors (102414).

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

66930 is a wasteful number, since it uses less digits than its factorization.

66930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 66930 is about 258.7083299780. The cubic root of 66930 is about 40.6013313807.

The spelling of 66930 in words is "sixty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 97 115 138 194 230 291 345 485 582 690 970 1455 2231 2910 4462 6693 11155 13386 22310 33465 66930