Search a number
-
+
41340560 = 245516757
BaseRepresentation
bin1001110110110…
…0111010010000
32212210022120212
42131230322100
541040344220
64034023252
71011250262
oct235547220
985708525
1041340560
1121376858
1211a17b28
138745a91
1456c1b32
1539690c5
hex276ce90

41340560 has 20 divisors (see below), whose sum is σ = 96116988. Its totient is φ = 16536192.

The previous prime is 41340553. The next prime is 41340571. The reversal of 41340560 is 6504314.

It is a happy number.

41340560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 13630864 = 5264^2 + 3692^2 .

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

It is a super-2 number, since 2×413405602 = 3418083802227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258299 + ... + 258458.

Almost surely, 241340560 is an apocalyptic number.

41340560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41340560 is an abundant number, since it is smaller than the sum of its proper divisors (54776428).

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

41340560 is a wasteful number, since it uses less digits than its factorization.

41340560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516770 (or 516764 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 41340560 is about 6429.6625105833. The cubic root of 41340560 is about 345.7738283775.

Adding to 41340560 its reverse (6504314), we get a palindrome (47844874).

The spelling of 41340560 in words is "forty-one million, three hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 516757 1033514 2067028 2583785 4134056 5167570 8268112 10335140 20670280 41340560