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41145040 = 245514313
BaseRepresentation
bin1001110011110…
…1001011010000
32212102101101101
42130331023100
541013120130
64025514144
71006504246
oct234751320
985371341
1041145040
1121252972
1211942954
1386a7aa1
145670796
15392b1ca
hex273d2d0

41145040 has 20 divisors (see below), whose sum is σ = 95662404. Its totient is φ = 16457984.

The previous prime is 41145019. The next prime is 41145043. The reversal of 41145040 is 4054114.

41145040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 31854736 = 3048^2 + 5644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 41144999 and 41145017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41145043) 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 3 ways as a sum of consecutive naturals, for example, 257077 + ... + 257236.

Almost surely, 241145040 is an apocalyptic number.

41145040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41145040 is an abundant number, since it is smaller than the sum of its proper divisors (54517364).

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

41145040 is a wasteful number, since it uses less digits than its factorization.

41145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514326 (or 514320 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 41145040 is about 6414.4399599653. The cubic root of 41145040 is about 345.2278548015.

Adding to 41145040 its reverse (4054114), we get a palindrome (45199154).

It can be divided in two parts, 411 and 45040, that added together give a triangular number (45451 = T301).

The spelling of 41145040 in words is "forty-one million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 514313 1028626 2057252 2571565 4114504 5143130 8229008 10286260 20572520 41145040