Search a number
-
+
41309040 = 2435199059
BaseRepresentation
bin1001110110010…
…1001101110000
32212201201100110
42131211031300
541033342130
64033221320
71011056343
oct235451560
985651313
1041309040
1121355103
1211a01840
138734626
1456b445a
15395eab0
hex2765370

41309040 has 80 divisors (see below), whose sum is σ = 134812800. Its totient is φ = 10434816.

The previous prime is 41309039. The next prime is 41309063. The reversal of 41309040 is 4090314.

41309040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 41308998 and 41309016.

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, 31 + ... + 9089.

It is an arithmetic number, because the mean of its divisors is an integer number (1685160).

Almost surely, 241309040 is an apocalyptic number.

41309040 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 41309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67406400).

41309040 is an abundant number, since it is smaller than the sum of its proper divisors (93503760).

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

41309040 is a wasteful number, since it uses less digits than its factorization.

41309040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 41309040 is about 6427.2109036502. The cubic root of 41309040 is about 345.6859279220.

Adding to 41309040 its reverse (4090314), we get a palindrome (45399354).

The spelling of 41309040 in words is "forty-one million, three hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 9059 18118 27177 36236 45295 54354 72472 90590 108708 135885 144944 172121 181180 217416 271770 344242 362360 434832 516363 543540 688484 724720 860605 1032726 1087080 1376968 1721210 2065452 2174160 2581815 2753936 3442420 4130904 5163630 6884840 8261808 10327260 13769680 20654520 41309040