Search a number
-
+
41381280 = 2534531103
BaseRepresentation
bin1001110111011…
…0110110100000
32212212101110000
42131312312200
541043200110
64034540000
71011510063
oct235666640
985771400
1041381280
11213a4406
1211a37600
13875b485
1456d28da
1539761c0
hex2776da0

41381280 has 240 divisors, whose sum is σ = 152216064. Its totient is φ = 10575360.

The previous prime is 41381257. The next prime is 41381293. The reversal of 41381280 is 8218314.

41381280 is a `hidden beast` number, since 4 + 1 + 381 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401709 + ... + 401811.

Almost surely, 241381280 is an apocalyptic number.

41381280 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 41381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76108032).

41381280 is an abundant number, since it is smaller than the sum of its proper divisors (110834784).

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

41381280 is a wasteful number, since it uses less digits than its factorization.

41381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 41381280 is about 6432.8283048749. The cubic root of 41381280 is about 345.8873189379.

Adding to 41381280 its reverse (8218314), we get a palindrome (49599594).

The spelling of 41381280 in words is "forty-one million, three hundred eighty-one thousand, two hundred eighty".