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41100 = 22352137
BaseRepresentation
bin1010000010001100
32002101020
422002030
52303400
6514140
7230553
oct120214
962336
1041100
1128974
121b950
1315927
1410d9a
15c2a0
hexa08c

41100 has 36 divisors (see below), whose sum is σ = 119784. Its totient is φ = 10880.

The previous prime is 41081. The next prime is 41113. The reversal of 41100 is 114.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41100.

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 11 ways as a sum of consecutive naturals, for example, 232 + ... + 368.

241100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59892).

41100 is an abundant number, since it is smaller than the sum of its proper divisors (78684).

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

41100 is a wasteful number, since it uses less digits than its factorization.

41100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 41100 is about 202.7313493271. The cubic root of 41100 is about 34.5101839291.

Adding to 41100 its reverse (114), we get a palindrome (41214).

It can be divided in two parts, 41 and 100, that added together give a palindrome (141).

The spelling of 41100 in words is "forty-one thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1370 1644 2055 2740 3425 4110 6850 8220 10275 13700 20550 41100