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40117 = 711521
BaseRepresentation
bin1001110010110101
32001000211
421302311
52240432
6505421
7224650
oct116265
961024
1040117
1128160
121b271
131534c
1410897
15bd47
hex9cb5

40117 has 8 divisors (see below), whose sum is σ = 50112. Its totient is φ = 31200.

The previous prime is 40111. The next prime is 40123. The reversal of 40117 is 71104.

It is an interprime number because it is at equal distance from previous prime (40111) and next prime (40123).

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

It is a cyclic number.

It is not a de Polignac number, because 40117 - 27 = 39989 is a prime.

It is a Duffinian number.

40117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 40097 and 40106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40111) 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, 184 + ... + 337.

It is an arithmetic number, because the mean of its divisors is an integer number (6264).

240117 is an apocalyptic number.

It is an amenable number.

40117 is a deficient number, since it is larger than the sum of its proper divisors (9995).

40117 is a wasteful number, since it uses less digits than its factorization.

40117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 40117 is about 200.2922864216. The cubic root of 40117 is about 34.2328310063.

Subtracting from 40117 its sum of digits (13), we obtain a palindrome (40104).

The spelling of 40117 in words is "forty thousand, one hundred seventeen", and thus it is an iban number.

Divisors: 1 7 11 77 521 3647 5731 40117