Search a number
-
+
41039040 = 2635731197
BaseRepresentation
bin1001110010001…
…1010011000000
32212012222222110
42130203103000
541001222130
64023335320
71005553230
oct234432300
985188873
1041039040
1121190269
12118b1540
13866b773
145643cc0
153909ab0
hex27234c0

41039040 has 224 divisors, whose sum is σ = 154497024. Its totient is φ = 9031680.

The previous prime is 41039021. The next prime is 41039083. The reversal of 41039040 is 4093014.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 41038998 and 41039016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208222 + ... + 208418.

Almost surely, 241039040 is an apocalyptic number.

41039040 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 41039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77248512).

41039040 is an abundant number, since it is smaller than the sum of its proper divisors (113457984).

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

41039040 is a wasteful number, since it uses less digits than its factorization.

41039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 41039040 is about 6406.1720239157. The cubic root of 41039040 is about 344.9311351732.

The spelling of 41039040 in words is "forty-one million, thirty-nine thousand, forty".