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11317257 = 3271710567
BaseRepresentation
bin101011001011…
…000000001001
3210021222100200
4223023000021
510344123012
61042322413
7165123630
oct53130011
923258320
1011317257
11642a906
123959409
132463303
141708517
15ed83dc
hexacb009

11317257 has 24 divisors (see below), whose sum is σ = 19783296. Its totient is φ = 6086016.

The previous prime is 11317247. The next prime is 11317259. The reversal of 11317257 is 75271311.

It is a happy number.

It is not a de Polignac number, because 11317257 - 27 = 11317129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11317257.

It is not an unprimeable number, because it can be changed into a prime (11317259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4213 + ... + 6354.

It is an arithmetic number, because the mean of its divisors is an integer number (824304).

Almost surely, 211317257 is an apocalyptic number.

11317257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11317257 is a deficient number, since it is larger than the sum of its proper divisors (8466039).

11317257 is a wasteful number, since it uses less digits than its factorization.

11317257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10594 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 11317257 is about 3364.1131074921. The cubic root of 11317257 is about 224.5158776012.

Adding to 11317257 its reverse (75271311), we get a palindrome (86588568).

The spelling of 11317257 in words is "eleven million, three hundred seventeen thousand, two hundred fifty-seven".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 10567 31701 73969 95103 179639 221907 538917 665721 1257473 1616751 3772419 11317257