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41136 = 243857
BaseRepresentation
bin1010000010110000
32002102120
422002300
52304021
6514240
7230634
oct120260
962376
1041136
11289a7
121b980
1315954
1410dc4
15c2c6
hexa0b0

41136 has 20 divisors (see below), whose sum is σ = 106392. Its totient is φ = 13696.

The previous prime is 41131. The next prime is 41141. The reversal of 41136 is 63114.

It is an interprime number because it is at equal distance from previous prime (41131) and next prime (41141).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41131) by changing a digit.

41136 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381 + ... + 476.

241136 is an apocalyptic number.

It is an amenable number.

41136 is an abundant number, since it is smaller than the sum of its proper divisors (65256).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53196).

41136 is a wasteful number, since it uses less digits than its factorization.

41136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 41136 is about 202.8201173454. The cubic root of 41136 is about 34.5202569547.

The spelling of 41136 in words is "forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 857 1714 2571 3428 5142 6856 10284 13712 20568 41136