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41140440 = 23335113463
BaseRepresentation
bin1001110011110…
…0000011011000
32212102011002000
42130330003120
541012443230
64025441000
71006454655
oct234740330
985364060
1041140440
112124a470
1211940160
1386a5973
14566cc2c
153929b60
hex273c0d8

41140440 has 128 divisors (see below), whose sum is σ = 149644800. Its totient is φ = 9970560.

The previous prime is 41140433. The next prime is 41140447. The reversal of 41140440 is 4404114.

It is an interprime number because it is at equal distance from previous prime (41140433) and next prime (41140447).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41140447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10149 + ... + 13611.

It is an arithmetic number, because the mean of its divisors is an integer number (1169100).

Almost surely, 241140440 is an apocalyptic number.

41140440 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 41140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74822400).

41140440 is an abundant number, since it is smaller than the sum of its proper divisors (108504360).

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

41140440 is a wasteful number, since it uses less digits than its factorization.

41140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41140440 is about 6414.0813839551. The cubic root of 41140440 is about 345.2149888739.

Adding to 41140440 its reverse (4404114), we get a palindrome (45544554).

The spelling of 41140440 in words is "forty-one million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3463 3960 5940 6926 10389 11880 13852 17315 20778 27704 31167 34630 38093 41556 51945 62334 69260 76186 83112 93501 103890 114279 124668 138520 152372 155835 187002 190465 207780 228558 249336 304744 311670 342837 374004 380930 415560 457116 467505 571395 623340 685674 748008 761860 914232 935010 1028511 1142790 1246680 1371348 1523720 1714185 1870020 2057022 2285580 2742696 3428370 3740040 4114044 4571160 5142555 6856740 8228088 10285110 13713480 20570220 41140440