Search a number
-
+
41342080 = 275134969
BaseRepresentation
bin1001110110110…
…1010010000000
32212210101200011
42131231102000
541040421310
64034034304
71011254563
oct235552200
985711604
1041342080
1121377a0a
1211a18994
138746690
1456c24da
15396978a
hex276d480

41342080 has 64 divisors (see below), whose sum is σ = 106457400. Its totient is φ = 15261696.

The previous prime is 41342071. The next prime is 41342087. The reversal of 41342080 is 8024314.

It can be written as a sum of positive squares in 4 ways, for example, as 19289664 + 22052416 = 4392^2 + 4696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (41342087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5836 + ... + 10804.

Almost surely, 241342080 is an apocalyptic number.

41342080 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 41342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53228700).

41342080 is an abundant number, since it is smaller than the sum of its proper divisors (65115320).

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

41342080 is a wasteful number, since it uses less digits than its factorization.

41342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 41342080 is about 6429.7807116573. The cubic root of 41342080 is about 345.7780661026.

Adding to 41342080 its reverse (8024314), we get a palindrome (49366394).

The spelling of 41342080 in words is "forty-one million, three hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 4969 8320 9938 19876 24845 39752 49690 64597 79504 99380 129194 159008 198760 258388 318016 322985 397520 516776 636032 645970 795040 1033552 1291940 1590080 2067104 2583880 3180160 4134208 5167760 8268416 10335520 20671040 41342080