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40713 = 341331
BaseRepresentation
bin1001111100001001
32001211220
421330021
52300323
6512253
7226461
oct117411
961756
1040713
1128652
121b689
13156ba
1410ba1
15c0e3
hex9f09

40713 has 8 divisors (see below), whose sum is σ = 55776. Its totient is φ = 26400.

The previous prime is 40709. The next prime is 40739. The reversal of 40713 is 31704.

40713 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 a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 40713 - 22 = 40709 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

40713 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 40692 and 40701.

It is not an unprimeable number, because it can be changed into a prime (40763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (6972).

240713 is an apocalyptic number.

It is an amenable number.

40713 is a deficient number, since it is larger than the sum of its proper divisors (15063).

40713 is a wasteful number, since it uses less digits than its factorization.

40713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 40713 is about 201.7746267497. The cubic root of 40713 is about 34.4015255318.

Subtracting from 40713 its reverse (31704), we obtain a palindrome (9009).

The spelling of 40713 in words is "forty thousand, seven hundred thirteen".

Divisors: 1 3 41 123 331 993 13571 40713