Search a number
-
+
40717040 = 24572131747
BaseRepresentation
bin1001101101010…
…0101011110000
32211121122021112
42123110223300
540410421130
64012412452
71003042400
oct233245360
984548245
1040717040
1120a90351
1211777128
138588030
14559c800
153894495
hex26d4af0

40717040 has 240 divisors, whose sum is σ = 128241792. Its totient is φ = 11870208.

The previous prime is 40717007. The next prime is 40717049. The reversal of 40717040 is 4071704.

40717040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40716997 and 40717015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40717049) 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 47 ways as a sum of consecutive naturals, for example, 866297 + ... + 866343.

Almost surely, 240717040 is an apocalyptic number.

40717040 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 40717040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896).

40717040 is an abundant number, since it is smaller than the sum of its proper divisors (87524752).

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

40717040 is a wasteful number, since it uses less digits than its factorization.

40717040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 40717040 is about 6380.9905187204. The cubic root of 40717040 is about 344.0266339573.

Adding to 40717040 its reverse (4071704), we get a palindrome (44788744).

It can be divided in two parts, 4071 and 7040, that added together give a palindrome (11111).

The spelling of 40717040 in words is "forty million, seven hundred seventeen thousand, forty".