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40013505 = 3257592153
BaseRepresentation
bin1001100010100…
…0111011000001
32210021220012200
42120220323001
540220413010
63545343413
7664052310
oct230507301
983256180
1040013505
112064a814
1211497b69
13839ca3c
145458277
1537a5cc0
hex2628ec1

40013505 has 48 divisors (see below), whose sum is σ = 80645760. Its totient is φ = 17973504.

The previous prime is 40013483. The next prime is 40013507. The reversal of 40013505 is 50531004.

It is not a de Polignac number, because 40013505 - 28 = 40013249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40013507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17509 + ... + 19661.

It is an arithmetic number, because the mean of its divisors is an integer number (1680120).

Almost surely, 240013505 is an apocalyptic number.

40013505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40013505 is an abundant number, since it is smaller than the sum of its proper divisors (40632255).

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

40013505 is a wasteful number, since it uses less digits than its factorization.

40013505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 40013505 is about 6325.6228942295. The cubic root of 40013505 is about 342.0336737132.

Adding to 40013505 its reverse (50531004), we get a palindrome (90544509).

The spelling of 40013505 in words is "forty million, thirteen thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 531 885 1239 2065 2153 2655 3717 6195 6459 10765 15071 18585 19377 32295 45213 75355 96885 127027 135639 226065 381081 635135 678195 889189 1143243 1905405 2667567 4445945 5716215 8002701 13337835 40013505