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41231320 = 23513372143
BaseRepresentation
bin1001110101001…
…0001111011000
32212120202201221
42131102033120
541023400240
64031421424
71010313634
oct235221730
985522657
1041231320
1121301779
1211984874
138708140
145693dc4
153946a4a
hex27523d8

41231320 has 64 divisors (see below), whose sum is σ = 102654720. Its totient is φ = 14805504.

The previous prime is 41231317. The next prime is 41231347. The reversal of 41231320 is 2313214.

It is a happy number.

41231320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41231294 and 41231303.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18169 + ... + 20311.

It is an arithmetic number, because the mean of its divisors is an integer number (1603980).

Almost surely, 241231320 is an apocalyptic number.

41231320 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 41231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51327360).

41231320 is an abundant number, since it is smaller than the sum of its proper divisors (61423400).

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

41231320 is a wasteful number, since it uses less digits than its factorization.

41231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 41231320 is about 6421.1618886304. The cubic root of 41231320 is about 345.4689973808.

Adding to 41231320 its reverse (2313214), we get a palindrome (43544534).

It can be divided in two parts, 41 and 231320, that added together give a square (231361 = 4812).

The spelling of 41231320 in words is "forty-one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2143 2405 3848 4286 4810 8572 9620 10715 17144 19240 21430 27859 42860 55718 79291 85720 111436 139295 158582 222872 278590 317164 396455 557180 634328 792910 1030783 1114360 1585820 2061566 3171640 4123132 5153915 8246264 10307830 20615660 41231320