Search a number
-
+
40515 = 353773
BaseRepresentation
bin1001111001000011
32001120120
421321003
52244030
6511323
7226056
oct117103
961516
1040515
1128492
121b543
1315597
1410a9d
15c010
hex9e43

40515 has 16 divisors (see below), whose sum is σ = 67488. Its totient is φ = 20736.

The previous prime is 40507. The next prime is 40519. The reversal of 40515 is 51504.

40515 is nontrivially palindromic in base 9.

40515 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40515 - 23 = 40507 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

40515 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 40494 and 40503.

It is not an unprimeable number, because it can be changed into a prime (40519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (4218).

240515 is an apocalyptic number.

40515 is a deficient number, since it is larger than the sum of its proper divisors (26973).

40515 is a wasteful number, since it uses less digits than its factorization.

40515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 40515 is about 201.2833823245. The cubic root of 40515 is about 34.3456664357.

40515 divided by its sum of digits (15) gives a triangular number (2701 = T73).

It can be divided in two parts, 40 and 515, that added together give a palindrome (555).

The spelling of 40515 in words is "forty thousand, five hundred fifteen".

Divisors: 1 3 5 15 37 73 111 185 219 365 555 1095 2701 8103 13505 40515