Search a number
-
+
41362080 = 253586171
BaseRepresentation
bin1001110111001…
…0001010100000
32212211102002220
42131302022200
541042041310
64034311040
71011400104
oct235621240
985742086
1041362080
1121390a41
1211a28480
138752806
1456c9904
153970670
hex27722a0

41362080 has 48 divisors (see below), whose sum is σ = 130292064. Its totient is φ = 11029760.

The previous prime is 41362007. The next prime is 41362093. The reversal of 41362080 is 8026314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41362080.

It is an unprimeable number.

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, 42606 + ... + 43565.

It is an arithmetic number, because the mean of its divisors is an integer number (2714418).

Almost surely, 241362080 is an apocalyptic number.

41362080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41362080 is an abundant number, since it is smaller than the sum of its proper divisors (88929984).

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

41362080 is a wasteful number, since it uses less digits than its factorization.

41362080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86189 (or 86181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41362080 is about 6431.3357865999. The cubic root of 41362080 is about 345.8338159700.

Adding to 41362080 its reverse (8026314), we get a palindrome (49388394).

It can be divided in two parts, 4136 and 2080, that added together give a triangular number (6216 = T111).

The spelling of 41362080 in words is "forty-one million, three hundred sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 86171 172342 258513 344684 430855 517026 689368 861710 1034052 1292565 1378736 1723420 2068104 2585130 2757472 3446840 4136208 5170260 6893680 8272416 10340520 13787360 20681040 41362080