Search a number
-
+
41004720 = 2432556951
BaseRepresentation
bin1001110001101…
…0111010110000
32212011020220100
42130122322300
540444122340
64022512400
71005351201
oct234327260
985136810
1041004720
11211674a9
1211895700
138658c63
1456355a8
1538ee830
hex271aeb0

41004720 has 60 divisors (see below), whose sum is σ = 137709936. Its totient is φ = 10934400.

The previous prime is 41004709. The next prime is 41004721. The reversal of 41004720 is 2740014.

It is a happy number.

41004720 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 (60).

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 = 41004693 and 41004702.

It is not an unprimeable number, because it can be changed into a prime (41004721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27756 + ... + 29195.

Almost surely, 241004720 is an apocalyptic number.

41004720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41004720 is an abundant number, since it is smaller than the sum of its proper divisors (96705216).

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

41004720 is a wasteful number, since it uses less digits than its factorization.

41004720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56970 (or 56961 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 41004720 is about 6403.4927969039. The cubic root of 41004720 is about 344.8349557138.

Adding to 41004720 its reverse (2740014), we get a palindrome (43744734).

The spelling of 41004720 in words is "forty-one million, four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 56951 113902 170853 227804 284755 341706 455608 512559 569510 683412 854265 911216 1025118 1139020 1366824 1708530 2050236 2278040 2562795 2733648 3417060 4100472 4556080 5125590 6834120 8200944 10251180 13668240 20502360 41004720