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41120560 = 24513192081
BaseRepresentation
bin1001110011011…
…1001100110000
32212101010210201
42130313030300
541011324220
64025204544
71006343005
oct234671460
985333721
1041120560
1121236538
1211930754
1386998c0
1456658ac
153923d0a
hex2737330

41120560 has 80 divisors (see below), whose sum is σ = 108430560. Its totient is φ = 14376960.

The previous prime is 41120551. The next prime is 41120561. The reversal of 41120560 is 6502114.

41120560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (41120561) 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, 18720 + ... + 20800.

It is an arithmetic number, because the mean of its divisors is an integer number (1355382).

Almost surely, 241120560 is an apocalyptic number.

41120560 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 41120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54215280).

41120560 is an abundant number, since it is smaller than the sum of its proper divisors (67310000).

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

41120560 is a wasteful number, since it uses less digits than its factorization.

41120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 41120560 is about 6412.5314814042. The cubic root of 41120560 is about 345.1593746598.

41120560 divided by its sum of digits (19) gives a triangular number (2164240 = T2080).

Adding to 41120560 its reverse (6502114), we get a palindrome (47622674).

The spelling of 41120560 in words is "forty-one million, one hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2081 2470 3952 4162 4940 8324 9880 10405 16648 19760 20810 27053 33296 39539 41620 54106 79078 83240 108212 135265 158156 166480 197695 216424 270530 316312 395390 432848 514007 541060 632624 790780 1028014 1082120 1581560 2056028 2164240 2570035 3163120 4112056 5140070 8224112 10280140 20560280 41120560