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40160 = 255251
BaseRepresentation
bin1001110011100000
32001002102
421303200
52241120
6505532
7225041
oct116340
961072
1040160
112819a
121b2a8
1315383
14108c8
15bd75
hex9ce0

40160 has 24 divisors (see below), whose sum is σ = 95256. Its totient is φ = 16000.

The previous prime is 40153. The next prime is 40163. The reversal of 40160 is 6104.

Adding to 40160 its reverse (6104), we get a palindrome (46264).

It can be divided in two parts, 40 and 160, that multiplied together give a square (6400 = 802).

It is a super-2 number, since 2×401602 = 3225651200, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40160.

It is not an unprimeable number, because it can be changed into a prime (40163) 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 3 ways as a sum of consecutive naturals, for example, 35 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

240160 is an apocalyptic number.

40160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47628).

40160 is an abundant number, since it is smaller than the sum of its proper divisors (55096).

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

40160 is a wasteful number, since it uses less digits than its factorization.

40160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 40160 is about 200.3996007980. The cubic root of 40160 is about 34.2450576277.

The spelling of 40160 in words is "forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 502 1004 1255 2008 2510 4016 5020 8032 10040 20080 40160