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66696 = 2337397
BaseRepresentation
bin10000010010001000
310101111020
4100102020
54113241
61232440
7365310
oct202210
9111436
1066696
1146123
1232720
1324486
141a440
1514b66
hex10488

66696 has 32 divisors (see below), whose sum is σ = 191040. Its totient is φ = 19008.

The previous prime is 66683. The next prime is 66697. The reversal of 66696 is 69666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66697) by changing a digit.

66696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (5970).

266696 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 66696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95520).

66696 is an abundant number, since it is smaller than the sum of its proper divisors (124344).

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

66696 is a wasteful number, since it uses less digits than its factorization.

66696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 66696 is about 258.2556872559. The cubic root of 66696 is about 40.5539594738.

It can be divided in two parts, 666 and 96, that multiplied together give a palindrome (63936).

The spelling of 66696 in words is "sixty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 397 794 1191 1588 2382 2779 3176 4764 5558 8337 9528 11116 16674 22232 33348 66696