Search a number
-
+
40986 = 2341123
BaseRepresentation
bin1010000000011010
32002020000
422000122
52302421
6513430
7230331
oct120032
962200
1040986
1128880
121b876
131586a
1410d18
15c226
hexa01a

40986 has 40 divisors (see below), whose sum is σ = 104544. Its totient is φ = 11880.

The previous prime is 40973. The next prime is 40993. The reversal of 40986 is 68904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1771 + ... + 1793.

240986 is an apocalyptic number.

40986 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52272).

40986 is an abundant number, since it is smaller than the sum of its proper divisors (63558).

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

40986 is a wasteful number, since it uses less digits than its factorization.

40986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40986 is about 202.4499938256. The cubic root of 40986 is about 34.4782471569.

The spelling of 40986 in words is "forty thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 414 506 594 621 759 891 1242 1518 1782 1863 2277 3726 4554 6831 13662 20493 40986