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11917008 = 243282757
BaseRepresentation
bin101101011101…
…011011010000
3211102110001200
4231131123100
511022321013
61103231200
7203202315
oct55353320
924373050
1011917008
1167aa474
123ba8500
1326132ac
141822d0c
1510a5e73
hexb5d6d0

11917008 has 30 divisors (see below), whose sum is σ = 33351474. Its totient is φ = 3972288.

The previous prime is 11917007. The next prime is 11917039. The reversal of 11917008 is 80071911.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 138384 = 3432^2 + 372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11917001) 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 5 ways as a sum of consecutive naturals, for example, 41235 + ... + 41522.

Almost surely, 211917008 is an apocalyptic number.

11917008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11917008 is an abundant number, since it is smaller than the sum of its proper divisors (21434466).

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

11917008 is a wasteful number, since it uses less digits than its factorization.

11917008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82771 (or 82762 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 11917008 is about 3452.1019683665. The cubic root of 11917008 is about 228.4138375030.

Adding to 11917008 its reverse (80071911), we get a palindrome (91988919).

The spelling of 11917008 in words is "eleven million, nine hundred seventeen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 82757 165514 248271 331028 496542 662056 744813 993084 1324112 1489626 1986168 2979252 3972336 5958504 11917008