Search a number
-
+
41140 = 22511217
BaseRepresentation
bin1010000010110100
32002102201
422002310
52304030
6514244
7230641
oct120264
962381
1041140
1128a00
121b984
1315958
1410dc8
15c2ca
hexa0b4

41140 has 36 divisors (see below), whose sum is σ = 100548. Its totient is φ = 14080.

The previous prime is 41131. The next prime is 41141. The reversal of 41140 is 4114.

41140 = 182 + 192 + ... + 502.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 17424 = 154^2 + 132^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2412 + ... + 2428.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

241140 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 41140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50274).

41140 is an abundant number, since it is smaller than the sum of its proper divisors (59408).

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

41140 is a wasteful number, since it uses less digits than its factorization.

41140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 41140 is about 202.8299780604. The cubic root of 41140 is about 34.5213758170.

41140 divided by its sum of digits (10) gives a palindrome (4114).

Adding to 41140 its reverse (4114), we get a palindrome (45254).

It can be divided in two parts, 41 and 140, that added together give a palindrome (181).

The spelling of 41140 in words is "forty-one thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 10285 20570 41140