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41341120 = 2652341137
BaseRepresentation
bin1001110110110…
…1000011000000
32212210100100121
42131231003000
541040403440
64034030024
71011252022
oct235550300
985710317
1041341120
1121377217
1211a18314
138746102
1456c2012
15396934a
hex276d0c0

41341120 has 112 divisors (see below), whose sum is σ = 105997248. Its totient is φ = 15319040.

The previous prime is 41341087. The next prime is 41341129. The reversal of 41341120 is 2114314.

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

It is a junction number, because it is equal to n+sod(n) for n = 41341094 and 41341103.

It is not an unprimeable number, because it can be changed into a prime (41341129) 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 15 ways as a sum of consecutive naturals, for example, 301692 + ... + 301828.

It is an arithmetic number, because the mean of its divisors is an integer number (946404).

Almost surely, 241341120 is an apocalyptic number.

41341120 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 41341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52998624).

41341120 is an abundant number, since it is smaller than the sum of its proper divisors (64656128).

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

41341120 is a wasteful number, since it uses less digits than its factorization.

41341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 41341120 is about 6429.7060586002. The cubic root of 41341120 is about 345.7753896567.

Adding to 41341120 its reverse (2114314), we get a palindrome (43455434).

The spelling of 41341120 in words is "forty-one million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 64 80 82 92 115 137 160 164 184 205 230 274 320 328 368 410 460 548 656 685 736 820 920 943 1096 1312 1370 1472 1640 1840 1886 2192 2624 2740 3151 3280 3680 3772 4384 4715 5480 5617 6302 6560 7360 7544 8768 9430 10960 11234 12604 13120 15088 15755 18860 21920 22468 25208 28085 30176 31510 37720 43840 44936 50416 56170 60352 63020 75440 89872 100832 112340 126040 129191 150880 179744 201664 224680 252080 258382 301760 359488 449360 504160 516764 645955 898720 1008320 1033528 1291910 1797440 2067056 2583820 4134112 5167640 8268224 10335280 20670560 41341120