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40036 = 2210009
BaseRepresentation
bin1001110001100100
32000220211
421301210
52240121
6505204
7224503
oct116144
960824
1040036
1128097
121b204
13152b9
141083a
15bce1
hex9c64

40036 has 6 divisors (see below), whose sum is σ = 70070. Its totient is φ = 20016.

The previous prime is 40031. The next prime is 40037. The reversal of 40036 is 63004.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 36 = 200^2 + 6^2 .

40036 is a modest number, since divided by 36 gives 4 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 39998 and 40025.

It is not an unprimeable number, because it can be changed into a prime (40031) by changing a digit.

40036 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 as a sum of consecutive naturals, namely, 5001 + ... + 5008.

240036 is an apocalyptic number.

It is an amenable number.

40036 is a deficient number, since it is larger than the sum of its proper divisors (30034).

40036 is a wasteful number, since it uses less digits than its factorization.

40036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 40036 is about 200.0899797591. The cubic root of 40036 is about 34.2097757128.

It can be divided in two parts, 400 and 36, that multiplied together give a square (14400 = 1202).

The spelling of 40036 in words is "forty thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 4 10009 20018 40036