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41130560 = 265791627
BaseRepresentation
bin1001110011100…
…1101001000000
32212101122112002
42130321221000
541012134220
64025323132
71006414112
oct234715100
985348462
1041130560
1121242aa9
12119364a8
1386a1313
1456693b2
153926c75
hex2739a40

41130560 has 56 divisors (see below), whose sum is σ = 99242880. Its totient is φ = 16233984.

The previous prime is 41130553. The next prime is 41130581. The reversal of 41130560 is 6503114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 24467 + ... + 26093.

Almost surely, 241130560 is an apocalyptic number.

41130560 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 41130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49621440).

41130560 is an abundant number, since it is smaller than the sum of its proper divisors (58112320).

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

41130560 is a wasteful number, since it uses less digits than its factorization.

41130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 41130560 is about 6413.3111572728. The cubic root of 41130560 is about 345.1873518566.

Adding to 41130560 its reverse (6503114), we get a palindrome (47633674).

The spelling of 41130560 in words is "forty-one million, one hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 1627 2528 3160 3254 5056 6320 6508 8135 12640 13016 16270 25280 26032 32540 52064 65080 104128 128533 130160 257066 260320 514132 520640 642665 1028264 1285330 2056528 2570660 4113056 5141320 8226112 10282640 20565280 41130560