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41123320 = 2357227647
BaseRepresentation
bin1001110011011…
…1110111111000
32212101021120221
42130313313320
541011421240
64025225424
71006354030
oct234676770
985337527
1041123320
1121238617
1211932274
13869ac34
1456668c0
153924a4a
hex2737df8

41123320 has 64 divisors (see below), whose sum is σ = 106375680. Its totient is φ = 14015616.

The previous prime is 41123297. The next prime is 41123321. The reversal of 41123320 is 2332114.

It is a happy number.

It is a super-2 number, since 2×411233202 = 3382254895644800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41123294 and 41123303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41123321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63237 + ... + 63883.

It is an arithmetic number, because the mean of its divisors is an integer number (1662120).

Almost surely, 241123320 is an apocalyptic number.

41123320 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 41123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53187840).

41123320 is an abundant number, since it is smaller than the sum of its proper divisors (65252360).

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

41123320 is a wasteful number, since it uses less digits than its factorization.

41123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 41123320 is about 6412.7466814151. The cubic root of 41123320 is about 345.1670968193.

Adding to 41123320 its reverse (2332114), we get a palindrome (43455434).

The spelling of 41123320 in words is "forty-one million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 227 280 454 647 908 1135 1294 1589 1816 2270 2588 3178 3235 4529 4540 5176 6356 6470 7945 9058 9080 12712 12940 15890 18116 22645 25880 31780 36232 45290 63560 90580 146869 181160 293738 587476 734345 1028083 1174952 1468690 2056166 2937380 4112332 5140415 5874760 8224664 10280830 20561660 41123320