Search a number
-
+
41311240 = 23537103271
BaseRepresentation
bin1001110110010…
…1110000001000
32212201211100221
42131211300020
541033424430
64033235424
71011065635
oct235456010
985654327
1041311240
1121356823
1211a02b74
138735629
1456b518c
15396057a
hex2765c08

41311240 has 64 divisors (see below), whose sum is σ = 96744960. Its totient is φ = 15863040.

The previous prime is 41311229. The next prime is 41311271. The reversal of 41311240 is 4211314.

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, 152305 + ... + 152575.

It is an arithmetic number, because the mean of its divisors is an integer number (1511640).

Almost surely, 241311240 is an apocalyptic number.

41311240 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 41311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48372480).

41311240 is an abundant number, since it is smaller than the sum of its proper divisors (55433720).

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

41311240 is a wasteful number, since it uses less digits than its factorization.

41311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 41311240 is about 6427.3820487038. The cubic root of 41311240 is about 345.6920645573.

Adding to 41311240 its reverse (4211314), we get a palindrome (45522554).

The spelling of 41311240 in words is "forty-one million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 103 148 185 206 271 296 370 412 515 542 740 824 1030 1084 1355 1480 2060 2168 2710 3811 4120 5420 7622 10027 10840 15244 19055 20054 27913 30488 38110 40108 50135 55826 76220 80216 100270 111652 139565 152440 200540 223304 279130 401080 558260 1032781 1116520 2065562 4131124 5163905 8262248 10327810 20655620 41311240