Search a number
-
+
41136900 = 223527191031
BaseRepresentation
bin1001110011101…
…1001100000100
32212101222012220
42130323030010
541012340100
64025412340
71006441440
oct234731404
985358186
1041136900
1121247842
121193a0b0
1386a417c
14566b820
153928aa0
hex273b304

41136900 has 144 divisors (see below), whose sum is σ = 143324160. Its totient is φ = 8899200.

The previous prime is 41136869. The next prime is 41136913. The reversal of 41136900 is 963114.

It is a super-2 number, since 2×411369002 = 3384489083220000, which contains 22 as substring.

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, 39385 + ... + 40415.

Almost surely, 241136900 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 41136900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71662080).

41136900 is an abundant number, since it is smaller than the sum of its proper divisors (102187260).

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

41136900 is a wasteful number, since it uses less digits than its factorization.

41136900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 41136900 is about 6413.8054226800. The cubic root of 41136900 is about 345.2050870505.

The spelling of 41136900 in words is "forty-one million, one hundred thirty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1031 1050 1140 1330 1425 1596 1900 1995 2062 2100 2660 2850 3093 3325 3990 4124 5155 5700 6186 6650 7217 7980 9975 10310 12372 13300 14434 15465 19589 19950 20620 21651 25775 28868 30930 36085 39178 39900 43302 51550 58767 61860 72170 77325 78356 86604 97945 103100 108255 117534 137123 144340 154650 180425 195890 216510 235068 274246 293835 309300 360850 391780 411369 433020 489725 541275 548492 587670 685615 721700 822738 979450 1082550 1175340 1371230 1469175 1645476 1958900 2056845 2165100 2742460 2938350 3428075 4113690 5876700 6856150 8227380 10284225 13712300 20568450 41136900