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66332 = 22723103
BaseRepresentation
bin10000001100011100
310100222202
4100030130
54110312
61231032
7364250
oct201434
9110882
1066332
1145922
1232478
1324266
141a260
15149c2
hex1031c

66332 has 24 divisors (see below), whose sum is σ = 139776. Its totient is φ = 26928.

The previous prime is 66301. The next prime is 66337. The reversal of 66332 is 23366.

It is a happy number.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66337) 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, 593 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

266332 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 66332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69888).

66332 is an abundant number, since it is smaller than the sum of its proper divisors (73444).

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

66332 is a wasteful number, since it uses less digits than its factorization.

66332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 66332 is about 257.5499951466. The cubic root of 66332 is about 40.4800491076.

Adding to 66332 its reverse (23366), we get a palindrome (89698).

It can be divided in two parts, 66 and 332, that multiplied together give a palindrome (21912).

The spelling of 66332 in words is "sixty-six thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 103 161 206 322 412 644 721 1442 2369 2884 4738 9476 16583 33166 66332