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66978 = 232612
BaseRepresentation
bin10000010110100010
310101212200
4100112202
54120403
61234030
7366162
oct202642
9111780
1066978
114635a
1232916
1324642
141a5a2
1514ca3
hex105a2

66978 has 18 divisors (see below), whose sum is σ = 147537. Its totient is φ = 21960.

The previous prime is 66977. The next prime is 67003. The reversal of 66978 is 87966.

66978 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 21609 = 213^2 + 147^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=183.

It is not an unprimeable number, because it can be changed into a prime (66973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1068 + ... + 1128.

266978 is an apocalyptic number.

66978 is an abundant number, since it is smaller than the sum of its proper divisors (80559).

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

66978 is a wasteful number, since it uses less digits than its factorization.

66978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 66 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 66978 is about 258.8010819143. The cubic root of 66978 is about 40.6110350423.

It can be divided in two parts, 669 and 78, that added together give a palindrome (747).

The spelling of 66978 in words is "sixty-six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 3721 7442 11163 22326 33489 66978