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41143080 = 23351171439
BaseRepresentation
bin1001110011110…
…0101100101000
32212102021200210
42130330230220
541013034310
64025501120
71006465446
oct234745450
985367623
1041143080
1121251450
12119417a0
1386a6c24
14566db96
15392a820
hex273cb28

41143080 has 128 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 9811200.

The previous prime is 41143013. The next prime is 41143099. The reversal of 41143080 is 8034114.

41143080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 93501 + ... + 93939.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 241143080 is an apocalyptic number.

41143080 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 41143080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

41143080 is an abundant number, since it is smaller than the sum of its proper divisors (95714520).

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

41143080 is a wasteful number, since it uses less digits than its factorization.

41143080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 41143080 is about 6414.2871778554. The cubic root of 41143080 is about 345.2223729148. Note that the first 3 decimals are identical.

Adding to 41143080 its reverse (8034114), we get a palindrome (49177194).

The spelling of 41143080 in words is "forty-one million, one hundred forty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 439 440 568 660 710 781 852 878 1065 1317 1320 1420 1562 1704 1756 2130 2195 2343 2634 2840 3124 3512 3905 4260 4390 4686 4829 5268 6248 6585 7810 8520 8780 9372 9658 10536 11715 13170 14487 15620 17560 18744 19316 23430 24145 26340 28974 31169 31240 38632 46860 48290 52680 57948 62338 72435 93507 93720 96580 115896 124676 144870 155845 187014 193160 249352 289740 311690 342859 374028 467535 579480 623380 685718 748056 935070 1028577 1246760 1371436 1714295 1870140 2057154 2742872 3428590 3740280 4114308 5142885 6857180 8228616 10285770 13714360 20571540 41143080