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41075640 = 2333573521
BaseRepresentation
bin1001110010110…
…0001110111000
32212021212012000
42130230032320
541003410030
64024221000
71006065024
oct234541670
985255160
1041075640
1121205811
121190a760
138682318
145653384
153915860
hex272c3b8

41075640 has 128 divisors (see below), whose sum is σ = 139060800. Its totient is φ = 10782720.

The previous prime is 41075627. The next prime is 41075647. The reversal of 41075640 is 4657014.

41075640 is a `hidden beast` number, since 4 + 10 + 7 + 5 + 640 = 666.

41075640 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41075647) 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 31 ways as a sum of consecutive naturals, for example, 78580 + ... + 79100.

Almost surely, 241075640 is an apocalyptic number.

41075640 is a gapful number since it is divisible by the number (40) 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 41075640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69530400).

41075640 is an abundant number, since it is smaller than the sum of its proper divisors (97985160).

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

41075640 is a wasteful number, since it uses less digits than its factorization.

41075640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 41075640 is about 6409.0280074283. The cubic root of 41075640 is about 345.0336451119.

The spelling of 41075640 in words is "forty-one million, seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 90 108 120 135 146 180 216 219 270 292 360 365 438 521 540 584 657 730 876 1042 1080 1095 1314 1460 1563 1752 1971 2084 2190 2605 2628 2920 3126 3285 3942 4168 4380 4689 5210 5256 6252 6570 7815 7884 8760 9378 9855 10420 12504 13140 14067 15630 15768 18756 19710 20840 23445 26280 28134 31260 37512 38033 39420 46890 56268 62520 70335 76066 78840 93780 112536 114099 140670 152132 187560 190165 228198 281340 304264 342297 380330 456396 562680 570495 684594 760660 912792 1026891 1140990 1369188 1521320 1711485 2053782 2281980 2738376 3422970 4107564 4563960 5134455 6845940 8215128 10268910 13691880 20537820 41075640