Search a number
-
+
41260320 = 253359551
BaseRepresentation
bin1001110101100…
…1010100100000
32212122020112000
42131121110200
541030312240
64032204000
71010464323
oct235312440
985566460
1041260320
1121321542
1211999600
1387183ba
1456a07ba
153950430
hex2759520

41260320 has 96 divisors (see below), whose sum is σ = 144426240. Its totient is φ = 11001600.

The previous prime is 41260319. The next prime is 41260363. The reversal of 41260320 is 2306214.

It is a happy number.

41260320 is a `hidden beast` number, since 41 + 2 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 41260293 and 41260302.

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 15 ways as a sum of consecutive naturals, for example, 456 + ... + 9095.

It is an arithmetic number, because the mean of its divisors is an integer number (1504440).

Almost surely, 241260320 is an apocalyptic number.

41260320 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 41260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72213120).

41260320 is an abundant number, since it is smaller than the sum of its proper divisors (103165920).

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

41260320 is a wasteful number, since it uses less digits than its factorization.

41260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41260320 is about 6423.4196499995. The cubic root of 41260320 is about 345.5499734688.

Adding to 41260320 its reverse (2306214), we get a palindrome (43566534).

The spelling of 41260320 in words is "forty-one million, two hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9551 19102 28653 38204 47755 57306 76408 85959 95510 114612 143265 152816 171918 191020 229224 257877 286530 305632 343836 382040 429795 458448 515754 573060 687672 764080 859590 916896 1031508 1146120 1289385 1375344 1528160 1719180 2063016 2292240 2578770 2750688 3438360 4126032 4584480 5157540 6876720 8252064 10315080 13753440 20630160 41260320