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41104000 = 27537367
BaseRepresentation
bin1001110011001…
…1001010000000
32212100022002101
42130303022000
541010312000
64025000144
71006243510
oct234631200
985308071
1041104000
1121225053
1211923054
1386921c2
14565d840
15391de6a
hex2733280

41104000 has 128 divisors (see below), whose sum is σ = 117112320. Its totient is φ = 14054400.

The previous prime is 41103989. The next prime is 41104033. The reversal of 41104000 is 40114.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111817 + ... + 112183.

It is an arithmetic number, because the mean of its divisors is an integer number (914940).

Almost surely, 241104000 is an apocalyptic number.

41104000 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 41104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58556160).

41104000 is an abundant number, since it is smaller than the sum of its proper divisors (76008320).

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

41104000 is an equidigital number, since it uses as much as digits as its factorization.

41104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 41104000 is about 6411.2401296473. The cubic root of 41104000 is about 345.1130344454.

Adding to 41104000 its reverse (40114), we get a palindrome (41144114).

The spelling of 41104000 in words is "forty-one million, one hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 367 400 448 500 560 640 700 734 800 875 896 1000 1120 1400 1468 1600 1750 1835 2000 2240 2569 2800 2936 3200 3500 3670 4000 4480 5138 5600 5872 7000 7340 8000 9175 10276 11200 11744 12845 14000 14680 16000 18350 20552 22400 23488 25690 28000 29360 36700 41104 45875 46976 51380 56000 58720 64225 73400 82208 91750 102760 112000 117440 128450 146800 164416 183500 205520 234880 256900 293600 321125 328832 367000 411040 513800 587200 642250 734000 822080 1027600 1174400 1284500 1468000 1644160 2055200 2569000 2936000 4110400 5138000 5872000 8220800 10276000 20552000 41104000