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36676 = 2253173
BaseRepresentation
bin1000111101000100
31212022101
420331010
52133201
6441444
7211633
oct107504
955271
1036676
1125612
1219284
1313903
14d51a
15ad01
hex8f44

36676 has 12 divisors (see below), whose sum is σ = 65772. Its totient is φ = 17888.

The previous prime is 36671. The next prime is 36677. The reversal of 36676 is 67663.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 6400 = 174^2 + 80^2 .

It is not an unprimeable number, because it can be changed into a prime (36671) by changing a digit.

36676 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126 + ... + 298.

It is an arithmetic number, because the mean of its divisors is an integer number (5481).

236676 is an apocalyptic number.

It is an amenable number.

36676 is a deficient number, since it is larger than the sum of its proper divisors (29096).

36676 is a wasteful number, since it uses less digits than its factorization.

36676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 36676 is about 191.5097908724. The cubic root of 36676 is about 33.2246683649.

It can be divided in two parts, 36 and 676, that multiplied together give a square (24336 = 1562).

The spelling of 36676 in words is "thirty-six thousand, six hundred seventy-six".

Divisors: 1 2 4 53 106 173 212 346 692 9169 18338 36676