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41012080 = 245598689
BaseRepresentation
bin1001110001110…
…0101101110000
32212011121222221
42130130231300
540444341310
64023010424
71005411514
oct234345560
985147887
1041012080
1121171a8a
1211899a14
13865c405
145638144
153901ada
hex271cb70

41012080 has 40 divisors (see below), whose sum is σ = 96980400. Its totient is φ = 16124928.

The previous prime is 41012063. The next prime is 41012087. The reversal of 41012080 is 8021014.

It is a happy number.

41012080 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41012087) 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 7 ways as a sum of consecutive naturals, for example, 376 + ... + 9064.

It is an arithmetic number, because the mean of its divisors is an integer number (2424510).

Almost surely, 241012080 is an apocalyptic number.

41012080 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 41012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48490200).

41012080 is an abundant number, since it is smaller than the sum of its proper divisors (55968320).

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

41012080 is a wasteful number, since it uses less digits than its factorization.

41012080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 41012080 is about 6404.0674574836. The cubic root of 41012080 is about 344.8555861309.

Adding to 41012080 its reverse (8021014), we get a palindrome (49033094).

The spelling of 41012080 in words is "forty-one million, twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 8689 17378 34756 43445 69512 86890 139024 173780 347560 512651 695120 1025302 2050604 2563255 4101208 5126510 8202416 10253020 20506040 41012080