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41119000 = 2353133163
BaseRepresentation
bin1001110011011…
…0110100011000
32212101001122221
42130312310120
541011302000
64025153424
71006335316
oct234666430
985331587
1041119000
112123534a
121192b874
138698c90
1456650b6
15392361a
hex2736d18

41119000 has 64 divisors (see below), whose sum is σ = 103652640. Its totient is φ = 15177600.

The previous prime is 41118991. The next prime is 41119003. The reversal of 41119000 is 91114.

It is a happy number.

41119000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×411190002 = 3381544322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41119003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11419 + ... + 14581.

Almost surely, 241119000 is an apocalyptic number.

41119000 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 41119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51826320).

41119000 is an abundant number, since it is smaller than the sum of its proper divisors (62533640).

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

41119000 is a wasteful number, since it uses less digits than its factorization.

41119000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 41119000 is about 6412.4098434208. The cubic root of 41119000 is about 345.1550098082.

The spelling of 41119000 in words is "forty-one million, one hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3163 3250 6326 6500 12652 13000 15815 25304 31630 41119 63260 79075 82238 126520 158150 164476 205595 316300 328952 395375 411190 632600 790750 822380 1027975 1581500 1644760 2055950 3163000 4111900 5139875 8223800 10279750 20559500 41119000