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66356 = 2253313
BaseRepresentation
bin10000001100110100
310101000122
4100030310
54110411
61231112
7364313
oct201464
9111018
1066356
1145944
1232498
1324284
141a27a
15149db
hex10334

66356 has 12 divisors (see below), whose sum is σ = 118692. Its totient is φ = 32448.

The previous prime is 66347. The next prime is 66359. The reversal of 66356 is 65366.

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 48400 = 134^2 + 220^2 .

It is a d-powerful number, because it can be written as 6 + 6 + 39 + 5 + 66 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66359) by changing a digit.

66356 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 3 ways as a sum of consecutive naturals, for example, 56 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (9891).

266356 is an apocalyptic number.

It is an amenable number.

66356 is a deficient number, since it is larger than the sum of its proper divisors (52336).

66356 is a wasteful number, since it uses less digits than its factorization.

66356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its digits is 3240, while the sum is 26.

The square root of 66356 is about 257.5965838283. The cubic root of 66356 is about 40.4849306330.

Adding to 66356 its product of digits (3240), we get a palindrome (69596).

Subtracting from 66356 its reverse (65366), we obtain a triangular number (990 = T44).

It can be divided in two parts, 663 and 56, that multiplied together give a triangular number (37128 = T272).

The spelling of 66356 in words is "sixty-six thousand, three hundred fifty-six".

Divisors: 1 2 4 53 106 212 313 626 1252 16589 33178 66356