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41107000 = 23531137101
BaseRepresentation
bin1001110011001…
…1111000111000
32212100110012111
42130303320320
541010411000
64025022104
71006255324
oct234637070
985313174
1041107000
1121227330
1211924934
13869368c
145660984
15391ecba
hex2733e38

41107000 has 128 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 14400000.

The previous prime is 41106983. The next prime is 41107009. The reversal of 41107000 is 70114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41107009) 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, 406950 + ... + 407050.

Almost surely, 241107000 is an apocalyptic number.

41107000 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 41107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419040).

41107000 is an abundant number, since it is smaller than the sum of its proper divisors (67731080).

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

41107000 is a wasteful number, since it uses less digits than its factorization.

41107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 41107000 is about 6411.4740894743. The cubic root of 41107000 is about 345.1214303348.

Adding to 41107000 its reverse (70114), we get a palindrome (41177114).

The spelling of 41107000 in words is "forty-one million, one hundred seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 101 110 125 148 185 200 202 220 250 275 296 370 404 407 440 500 505 550 740 808 814 925 1000 1010 1100 1111 1375 1480 1628 1850 2020 2035 2200 2222 2525 2750 3256 3700 3737 4040 4070 4444 4625 5050 5500 5555 7400 7474 8140 8888 9250 10100 10175 11000 11110 12625 14948 16280 18500 18685 20200 20350 22220 25250 27775 29896 37000 37370 40700 41107 44440 50500 50875 55550 74740 81400 82214 93425 101000 101750 111100 138875 149480 164428 186850 203500 205535 222200 277750 328856 373700 407000 411070 467125 555500 747400 822140 934250 1027675 1111000 1644280 1868500 2055350 3737000 4110700 5138375 8221400 10276750 20553500 41107000