Search a number
-
+
41005440 = 273457113
BaseRepresentation
bin1001110001101…
…1000110000000
32212011021220000
42130123012000
540444133230
64022520000
71005353250
oct234330600
985137800
1041005440
1121167aa3
1211896000
138659398
145635960
1538eeb60
hex271b180

41005440 has 320 divisors, whose sum is σ = 168838560. Its totient is φ = 9289728.

The previous prime is 41005429. The next prime is 41005441. The reversal of 41005440 is 4450014.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×410054402 = 3362892219187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 678 × 90 × 672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41005441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362824 + ... + 362936.

Almost surely, 241005440 is an apocalyptic number.

41005440 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 41005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84419280).

41005440 is an abundant number, since it is smaller than the sum of its proper divisors (127833120).

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

41005440 is a wasteful number, since it uses less digits than its factorization.

41005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 41005440 is about 6403.5490159754. The cubic root of 41005440 is about 344.8369740157.

Adding to 41005440 its reverse (4450014), we get a palindrome (45455454).

The spelling of 41005440 in words is "forty-one million, five thousand, four hundred forty".