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41130024 = 23313241547
BaseRepresentation
bin1001110011100…
…1100000101000
32212101121210020
42130321200220
541012130044
64025320440
71006412415
oct234714050
985347706
1041130024
1121242661
1211936120
1386a0cc0
14566910c
153926a19
hex2739828

41130024 has 64 divisors (see below), whose sum is σ = 111397440. Its totient is φ = 12579840.

The previous prime is 41130013. The next prime is 41130073. The reversal of 41130024 is 42003114.

It is a junction number, because it is equal to n+sod(n) for n = 41129985 and 41130012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74919 + ... + 75465.

It is an arithmetic number, because the mean of its divisors is an integer number (1740585).

Almost surely, 241130024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55698720).

41130024 is an abundant number, since it is smaller than the sum of its proper divisors (70267416).

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

41130024 is a wasteful number, since it uses less digits than its factorization.

41130024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 41130024 is about 6413.2693690504. The cubic root of 41130024 is about 345.1858523938.

Adding to 41130024 its reverse (42003114), we get a palindrome (83133138).

The spelling of 41130024 in words is "forty-one million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 241 312 482 547 723 964 1094 1446 1641 1928 2188 2892 3133 3282 4376 5784 6266 6564 7111 9399 12532 13128 14222 18798 21333 25064 28444 37596 42666 56888 75192 85332 131827 170664 263654 395481 527308 790962 1054616 1581924 1713751 3163848 3427502 5141253 6855004 10282506 13710008 20565012 41130024