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41042640 = 2435414397
BaseRepresentation
bin1001110010010…
…0001011010000
32212020011220210
42130210023100
541001331030
64023404120
71005566562
oct234441320
985204823
1041042640
1121192a41
12118b3640
1386702b2
145645332
15390abb0
hex27242d0

41042640 has 160 divisors (see below), whose sum is σ = 134741376. Its totient is φ = 10321920.

The previous prime is 41042629. The next prime is 41042689. The reversal of 41042640 is 4624014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423072 + ... + 423168.

Almost surely, 241042640 is an apocalyptic number.

41042640 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 41042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67370688).

41042640 is an abundant number, since it is smaller than the sum of its proper divisors (93698736).

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

41042640 is a wasteful number, since it uses less digits than its factorization.

41042640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 41042640 is about 6406.4529967838. The cubic root of 41042640 is about 344.9412208200.

Adding to 41042640 its reverse (4624014), we get a palindrome (45666654).

The spelling of 41042640 in words is "forty-one million, forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 43 48 60 80 82 86 97 120 123 129 164 172 194 205 215 240 246 258 291 328 344 388 410 430 485 492 516 582 615 645 656 688 776 820 860 970 984 1032 1164 1230 1290 1455 1552 1640 1720 1763 1940 1968 2064 2328 2460 2580 2910 3280 3440 3526 3880 3977 4171 4656 4920 5160 5289 5820 7052 7760 7954 8342 8815 9840 10320 10578 11640 11931 12513 14104 15908 16684 17630 19885 20855 21156 23280 23862 25026 26445 28208 31816 33368 35260 39770 41710 42312 47724 50052 52890 59655 62565 63632 66736 70520 79540 83420 84624 95448 100104 105780 119310 125130 141040 159080 166840 171011 190896 200208 211560 238620 250260 318160 333680 342022 423120 477240 500520 513033 684044 855055 954480 1001040 1026066 1368088 1710110 2052132 2565165 2736176 3420220 4104264 5130330 6840440 8208528 10260660 13680880 20521320 41042640