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41232240 = 243657101
BaseRepresentation
bin1001110101001…
…0011101110000
32212120211000000
42131102131300
541023412430
64031430000
71010316420
oct235223560
985524000
1041232240
1121302435
1211985300
13870869a
145694480
153946e60
hex2752770

41232240 has 280 divisors, whose sum is σ = 165891168. Its totient is φ = 9331200.

The previous prime is 41232221. The next prime is 41232241. The reversal of 41232240 is 4223214.

41232240 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 (280).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41232241) 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 55 ways as a sum of consecutive naturals, for example, 408190 + ... + 408290.

Almost surely, 241232240 is an apocalyptic number.

41232240 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 41232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82945584).

41232240 is an abundant number, since it is smaller than the sum of its proper divisors (124658928).

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

41232240 is a wasteful number, since it uses less digits than its factorization.

41232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41232240 is about 6421.2335263561. The cubic root of 41232240 is about 345.4715668605.

Adding to 41232240 its reverse (4223214), we get a palindrome (45455454).

The spelling of 41232240 in words is "forty-one million, two hundred thirty-two thousand, two hundred forty".