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41001040 = 2452831811
BaseRepresentation
bin1001110001101…
…0000001010000
32212011001212001
42130122001100
540444013130
64022443344
71005334363
oct234320120
985131761
1041001040
1121164763
1211893554
138657392
1456340da
1538ed6ca
hex271a050

41001040 has 40 divisors (see below), whose sum is σ = 95717088. Its totient is φ = 16333440.

The previous prime is 41001013. The next prime is 41001049. The reversal of 41001040 is 4010014.

41001040 is a nontrivial binomial coefficient, being equal to C(9056, 2).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21735 + ... + 23545.

Almost surely, 241001040 is an apocalyptic number.

41001040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41001040 is the 9055-th triangular number and also the 4528-th hexagonal number.

41001040 is the 3019-th centered nonagonal number.

It is an amenable number.

41001040 is an abundant number, since it is smaller than the sum of its proper divisors (54716048).

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

41001040 is a wasteful number, since it uses less digits than its factorization.

41001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 41001040 is about 6403.2054472740. The cubic root of 41001040 is about 344.8246395794.

Adding to 41001040 its reverse (4010014), we get a palindrome (45011054).

The spelling of 41001040 in words is "forty-one million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283 566 1132 1415 1811 2264 2830 3622 4528 5660 7244 9055 11320 14488 18110 22640 28976 36220 72440 144880 512513 1025026 2050052 2562565 4100104 5125130 8200208 10250260 20500520 41001040