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41112160 = 255263977
BaseRepresentation
bin1001110011010…
…1001001100000
32212100201021121
42130311021200
541011042120
64025102024
71006306345
oct234651140
985321247
1041112160
11212301a1
1211927914
138695b2b
1456627cc
1539215aa
hex2735260

41112160 has 48 divisors (see below), whose sum is σ = 97596576. Its totient is φ = 16365568.

The previous prime is 41112157. The next prime is 41112161. The reversal of 41112160 is 6121114.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41112161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41592 + ... + 42568.

It is an arithmetic number, because the mean of its divisors is an integer number (2033262).

Almost surely, 241112160 is an apocalyptic number.

41112160 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 41112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48798288).

41112160 is an abundant number, since it is smaller than the sum of its proper divisors (56484416).

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

41112160 is a wasteful number, since it uses less digits than its factorization.

41112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 41112160 is about 6411.8764804073. The cubic root of 41112160 is about 345.1358703091.

Adding to 41112160 its reverse (6121114), we get a palindrome (47233274).

The spelling of 41112160 in words is "forty-one million, one hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 263 526 977 1052 1315 1954 2104 2630 3908 4208 4885 5260 7816 8416 9770 10520 15632 19540 21040 31264 39080 42080 78160 156320 256951 513902 1027804 1284755 2055608 2569510 4111216 5139020 8222432 10278040 20556080 41112160