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41012840 = 23511175483
BaseRepresentation
bin1001110001110…
…0111001101000
32212011200001002
42130130321220
540444402330
64023014132
71005413651
oct234347150
985150032
1041012840
1121172610
121189a348
13865c86b
145638528
153901e45
hex271ce68

41012840 has 64 divisors (see below), whose sum is σ = 106608960. Its totient is φ = 14033920.

The previous prime is 41012827. The next prime is 41012843. The reversal of 41012840 is 4821014.

41012840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41012843) 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 15 ways as a sum of consecutive naturals, for example, 4739 + ... + 10221.

It is an arithmetic number, because the mean of its divisors is an integer number (1665765).

Almost surely, 241012840 is an apocalyptic number.

41012840 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 41012840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53304480).

41012840 is an abundant number, since it is smaller than the sum of its proper divisors (65596120).

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

41012840 is a wasteful number, since it uses less digits than its factorization.

41012840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522 (or 5518 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 41012840 is about 6404.1267944974. The cubic root of 41012840 is about 344.8577163052.

Adding to 41012840 its reverse (4821014), we get a palindrome (45833854).

The spelling of 41012840 in words is "forty-one million, twelve thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 5483 7480 10966 21932 27415 43864 54830 60313 93211 109660 120626 186422 219320 241252 301565 372844 466055 482504 603130 745688 932110 1025321 1206260 1864220 2050642 2412520 3728440 4101284 5126605 8202568 10253210 20506420 41012840