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41125140 = 223257127257
BaseRepresentation
bin1001110011100…
…0010100010100
32212101101002100
42130320110110
541012001030
64025242100
71006362240
oct234702424
985341070
1041125140
1121239a21
1211933330
13869ba04
145667420
153925360
hex2738514

41125140 has 144 divisors (see below), whose sum is σ = 144248832. Its totient is φ = 9289728.

The previous prime is 41125099. The next prime is 41125151. The reversal of 41125140 is 4152114.

41125140 is a `hidden beast` number, since 411 + 251 + 4 + 0 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 159892 + ... + 160148.

It is an arithmetic number, because the mean of its divisors is an integer number (1001728).

Almost surely, 241125140 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 41125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72124416).

41125140 is an abundant number, since it is smaller than the sum of its proper divisors (103123692).

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

41125140 is a wasteful number, since it uses less digits than its factorization.

41125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 41125140 is about 6412.8885847175. Note that the first 3 decimals coincide. The cubic root of 41125140 is about 345.1721887788.

Adding to 41125140 its reverse (4152114), we get a palindrome (45277254).

The spelling of 41125140 in words is "forty-one million, one hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 180 210 252 254 257 315 381 420 508 514 630 635 762 771 889 1028 1143 1260 1270 1285 1524 1542 1778 1799 1905 2286 2313 2540 2570 2667 3084 3556 3598 3810 3855 4445 4572 4626 5140 5334 5397 5715 7196 7620 7710 8001 8890 8995 9252 10668 10794 11430 11565 13335 15420 16002 16191 17780 17990 21588 22860 23130 26670 26985 32004 32382 32639 35980 40005 46260 53340 53970 64764 65278 80010 80955 97917 107940 130556 160020 161910 163195 195834 228473 293751 323820 326390 391668 456946 489585 587502 652780 685419 913892 979170 1142365 1175004 1370838 1468755 1958340 2056257 2284730 2741676 2937510 3427095 4112514 4569460 5875020 6854190 8225028 10281285 13708380 20562570 41125140