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40212 = 22321117
BaseRepresentation
bin1001110100010100
32001011100
421310110
52241322
6510100
7225144
oct116424
961140
1040212
1128237
121b330
13153c3
1410924
15bdac
hex9d14

40212 has 18 divisors (see below), whose sum is σ = 101738. Its totient is φ = 13392.

The previous prime is 40193. The next prime is 40213. The reversal of 40212 is 21204.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 15876 = 156^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 40194 and 40203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40213) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 523 + ... + 594.

240212 is an apocalyptic number.

It is an amenable number.

40212 is an abundant number, since it is smaller than the sum of its proper divisors (61526).

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

40212 is a wasteful number, since it uses less digits than its factorization.

40212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40212 is about 200.5292996048. The cubic root of 40212 is about 34.2598316563.

Adding to 40212 its reverse (21204), we get a palindrome (61416).

It can be divided in two parts, 402 and 12, that added together give a palindrome (414).

The spelling of 40212 in words is "forty thousand, two hundred twelve", and thus it is an iban number.