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41124132 = 22337219409
BaseRepresentation
bin1001110011100…
…0000100100100
32212101022201000
42130320010210
541011433012
64025233300
71006356300
oct234700444
985338630
1041124132
1121239195
1211932830
13869b40a
145666d00
153924ddc
hex2738124

41124132 has 144 divisors (see below), whose sum is σ = 130872000. Its totient is φ = 11104128.

The previous prime is 41124119. The next prime is 41124143. The reversal of 41124132 is 23142114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100344 + ... + 100752.

Almost surely, 241124132 is an apocalyptic number.

41124132 is a gapful number since it is divisible by the number (42) 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 41124132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65436000).

41124132 is an abundant number, since it is smaller than the sum of its proper divisors (89747868).

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

41124132 is a wasteful number, since it uses less digits than its factorization.

41124132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 41124132 is about 6412.8099925072. The cubic root of 41124132 is about 345.1693686352.

Adding to 41124132 its reverse (23142114), we get a palindrome (64266246).

The spelling of 41124132 in words is "forty-one million, one hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 409 441 513 532 588 684 756 798 818 882 931 1026 1197 1227 1323 1596 1636 1764 1862 2052 2394 2454 2646 2793 2863 3591 3681 3724 4788 4908 5292 5586 5726 7182 7362 7771 8379 8589 11043 11172 11452 14364 14724 15542 16758 17178 20041 22086 23313 25137 25767 31084 33516 34356 40082 44172 46626 50274 51534 54397 60123 69939 77301 80164 93252 100548 103068 108794 120246 139878 154602 163191 180369 209817 217588 240492 279756 309204 326382 360738 380779 419634 489573 541107 652764 721476 761558 839268 979146 1082214 1142337 1468719 1523116 1958292 2164428 2284674 2937438 3427011 4569348 5874876 6854022 10281033 13708044 20562066 41124132