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66276 = 22327263
BaseRepresentation
bin10000001011100100
310100220200
4100023210
54110101
61230500
7364140
oct201344
9110820
1066276
1145881
1232430
1324222
141a220
1514986
hex102e4

66276 has 36 divisors (see below), whose sum is σ = 192192. Its totient is φ = 18864.

The previous prime is 66271. The next prime is 66293. The reversal of 66276 is 67266.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66271) by changing a digit.

66276 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 11 ways as a sum of consecutive naturals, for example, 121 + ... + 383.

266276 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 66276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096).

66276 is an abundant number, since it is smaller than the sum of its proper divisors (125916).

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

66276 is a wasteful number, since it uses less digits than its factorization.

66276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 66276 is about 257.4412554351. The cubic root of 66276 is about 40.4686543008.

Subtracting 66276 from its reverse (67266), we obtain a triangular number (990 = T44).

The spelling of 66276 in words is "sixty-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 263 526 789 1052 1578 1841 2367 3156 3682 4734 5523 7364 9468 11046 16569 22092 33138 66276