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41339920 = 24517113269
BaseRepresentation
bin1001110110110…
…0110000010000
32212210021201011
42131230300100
541040334140
64034020304
71011245356
oct235546020
985707634
1041339920
1121376326
1211a17694
1387456bb
1456c17d6
153968cea
hex276cc10

41339920 has 80 divisors (see below), whose sum is σ = 103051440. Its totient is φ = 15368192.

The previous prime is 41339911. The next prime is 41339923. The reversal of 41339920 is 2993314.

It can be written as a sum of positive squares in 8 ways, for example, as 9935104 + 31404816 = 3152^2 + 5604^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41339923) by changing a digit.

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, 153546 + ... + 153814.

It is an arithmetic number, because the mean of its divisors is an integer number (1288143).

Almost surely, 241339920 is an apocalyptic number.

41339920 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 41339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51525720).

41339920 is an abundant number, since it is smaller than the sum of its proper divisors (61711520).

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

41339920 is a wasteful number, since it uses less digits than its factorization.

41339920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 41339920 is about 6429.6127410599. The cubic root of 41339920 is about 345.7720440412.

The spelling of 41339920 in words is "forty-one million, three hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 113 136 170 226 269 272 340 452 538 565 680 904 1076 1130 1345 1360 1808 1921 2152 2260 2690 3842 4304 4520 4573 5380 7684 9040 9146 9605 10760 15368 18292 19210 21520 22865 30397 30736 36584 38420 45730 60794 73168 76840 91460 121588 151985 153680 182920 243176 303970 365840 486352 516749 607940 1033498 1215880 2066996 2431760 2583745 4133992 5167490 8267984 10334980 20669960 41339920