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41280 = 263543
BaseRepresentation
bin1010000101000000
32002121220
422011000
52310110
6515040
7231231
oct120500
962556
1041280
1129018
121ba80
1315a35
1411088
15c370
hexa140

41280 has 56 divisors (see below), whose sum is σ = 134112. Its totient is φ = 10752.

The previous prime is 41269. The next prime is 41281. The reversal of 41280 is 8214.

Adding to 41280 its reverse (8214), we get a palindrome (49494).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939 + ... + 981.

241280 is an apocalyptic number.

41280 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 41280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67056).

41280 is an abundant number, since it is smaller than the sum of its proper divisors (92832).

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

41280 is a wasteful number, since it uses less digits than its factorization.

41280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41280 is about 203.1748015872. The cubic root of 41280 is about 34.5604903908.

The spelling of 41280 in words is "forty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2752 3440 4128 5160 6880 8256 10320 13760 20640 41280