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11317005 = 325737971
BaseRepresentation
bin101011001010…
…111100001101
3210021222000100
4223022330031
510344121010
61042321313
7165123120
oct53127415
923258010
1011317005
11642a6a7
123959239
13246316b
1417083b7
15ed82c0
hexacaf0d

11317005 has 48 divisors (see below), whose sum is σ = 23048064. Its totient is φ = 5028480.

The previous prime is 11317003. The next prime is 11317013. The reversal of 11317005 is 50071311.

It is a happy number.

It is not a de Polignac number, because 11317005 - 21 = 11317003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11317001) 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, 11170 + ... + 12140.

It is an arithmetic number, because the mean of its divisors is an integer number (480168).

Almost surely, 211317005 is an apocalyptic number.

11317005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11317005 is an abundant number, since it is smaller than the sum of its proper divisors (11731059).

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

11317005 is a wasteful number, since it uses less digits than its factorization.

11317005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 11317005 is about 3364.0756531327. The cubic root of 11317005 is about 224.5142111661.

Adding to 11317005 its reverse (50071311), we get a palindrome (61388316).

The spelling of 11317005 in words is "eleven million, three hundred seventeen thousand, five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 971 1295 1665 2331 2913 3885 4855 6797 8739 11655 14565 20391 33985 35927 43695 61173 101955 107781 179635 251489 305865 323343 538905 754467 1257445 1616715 2263401 3772335 11317005