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40185 = 3251947
BaseRepresentation
bin1001110011111001
32001010100
421303321
52241220
6510013
7225105
oct116371
961110
1040185
1128212
121b309
13153a2
1410905
15bd90
hex9cf9

40185 has 24 divisors (see below), whose sum is σ = 74880. Its totient is φ = 19872.

The previous prime is 40177. The next prime is 40189. The reversal of 40185 is 58104.

It is not a de Polignac number, because 40185 - 23 = 40177 is a prime.

It is a super-2 number, since 2×401852 = 3229668450, which contains 22 as substring.

40185 is a modest number, since divided by 185 gives 40 as remainder.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (40189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

240185 is an apocalyptic number.

40185 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40185 is a deficient number, since it is larger than the sum of its proper divisors (34695).

40185 is a wasteful number, since it uses less digits than its factorization.

40185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 40185 is about 200.4619664675. The cubic root of 40185 is about 34.2521621169.

Adding to 40185 its reverse (58104), we get a palindrome (98289).

It can be divided in two parts, 40 and 185, that added together give a square (225 = 152).

The spelling of 40185 in words is "forty thousand, one hundred eighty-five".

Divisors: 1 3 5 9 15 19 45 47 57 95 141 171 235 285 423 705 855 893 2115 2679 4465 8037 13395 40185