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41043420 = 2232511191091
BaseRepresentation
bin1001110010010…
…0010111011100
32212020012222200
42130210113130
541001342140
64023411500
71005602055
oct234442734
985205880
1041043420
1121193590
12118b3b90
138670762
14564572c
15390b030
hex27245dc

41043420 has 144 divisors (see below), whose sum is σ = 143095680. Its totient is φ = 9417600.

The previous prime is 41043413. The next prime is 41043421. The reversal of 41043420 is 2434014.

41043420 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 41043393 and 41043402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41043421) 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 47 ways as a sum of consecutive naturals, for example, 37075 + ... + 38165.

It is an arithmetic number, because the mean of its divisors is an integer number (993720).

Almost surely, 241043420 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 41043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

41043420 is an abundant number, since it is smaller than the sum of its proper divisors (102052260).

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

41043420 is a wasteful number, since it uses less digits than its factorization.

41043420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41043420 is about 6406.5138726143. The cubic root of 41043420 is about 344.9434059657.

Adding to 41043420 its reverse (2434014), we get a palindrome (43477434).

The spelling of 41043420 in words is "forty-one million, forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1091 1140 1254 1710 1881 1980 2090 2182 2508 3135 3273 3420 3762 4180 4364 5455 6270 6546 7524 9405 9819 10910 12001 12540 13092 16365 18810 19638 20729 21820 24002 32730 36003 37620 39276 41458 48004 49095 60005 62187 65460 72006 82916 98190 103645 108009 120010 124374 144012 180015 186561 196380 207290 216018 228019 240020 248748 310935 360030 373122 414580 432036 456038 540045 621870 684057 720060 746244 912076 932805 1080090 1140095 1243740 1368114 1865610 2052171 2160180 2280190 2736228 3420285 3731220 4104342 4560380 6840570 8208684 10260855 13681140 20521710 41043420