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41126820 = 22357181541
BaseRepresentation
bin1001110011100…
…0101110100100
32212101110101120
42130320232210
541012024240
64025253540
71006400160
oct234705644
985343346
1041126820
1121240209
12119342b0
13869c6c7
145667ca0
153925ad0
hex2738ba4

41126820 has 96 divisors (see below), whose sum is σ = 132577536. Its totient is φ = 9331200.

The previous prime is 41126819. The next prime is 41126851. The reversal of 41126820 is 2862114.

41126820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75750 + ... + 76290.

It is an arithmetic number, because the mean of its divisors is an integer number (1381016).

Almost surely, 241126820 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 41126820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66288768).

41126820 is an abundant number, since it is smaller than the sum of its proper divisors (91450716).

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

41126820 is a wasteful number, since it uses less digits than its factorization.

41126820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 41126820 is about 6413.0195695943. The cubic root of 41126820 is about 345.1768889159.

Adding to 41126820 its reverse (2862114), we get a palindrome (43988934).

The spelling of 41126820 in words is "forty-one million, one hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 181 210 362 420 541 543 724 905 1082 1086 1267 1623 1810 2164 2172 2534 2705 2715 3246 3620 3787 3801 5068 5410 5430 6335 6492 7574 7602 8115 10820 10860 11361 12670 15148 15204 16230 18935 19005 22722 25340 32460 37870 38010 45444 56805 75740 76020 97921 113610 195842 227220 293763 391684 489605 587526 685447 979210 1175052 1370894 1468815 1958420 2056341 2741788 2937630 3427235 4112682 5875260 6854470 8225364 10281705 13708940 20563410 41126820