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41840 = 245523
BaseRepresentation
bin1010001101110000
32010101122
422031300
52314330
6521412
7232661
oct121560
963348
1041840
1129487
1220268
1316076
1411368
15c5e5
hexa370

41840 has 20 divisors (see below), whose sum is σ = 97464. Its totient is φ = 16704.

The previous prime is 41813. The next prime is 41843. The reversal of 41840 is 4814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41843) by changing a digit.

41840 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 341.

241840 is an apocalyptic number.

41840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41840 is an abundant number, since it is smaller than the sum of its proper divisors (55624).

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 (48732).

41840 is a wasteful number, since it uses less digits than its factorization.

41840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 41840 is about 204.5482828087. The cubic root of 41840 is about 34.7160702582.

The spelling of 41840 in words is "forty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 523 1046 2092 2615 4184 5230 8368 10460 20920 41840