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11216680 = 235614597
BaseRepresentation
bin101010110010…
…011100101000
3210002212101121
4222302130220
510332413210
61040225024
7164224456
oct52623450
923085347
1011216680
116371292
12390b174
1324295b7
1416bd9d6
15eb86da
hexab2728

11216680 has 32 divisors (see below), whose sum is σ = 25656840. Its totient is φ = 4412160.

The previous prime is 11216659. The next prime is 11216683. The reversal of 11216680 is 8661211.

It can be written as a sum of positive squares in 4 ways, for example, as 3048516 + 8168164 = 1746^2 + 2858^2 .

It is not an unprimeable number, because it can be changed into a prime (11216683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 4738.

Almost surely, 211216680 is an apocalyptic number.

11216680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828420).

11216680 is an abundant number, since it is smaller than the sum of its proper divisors (14440160).

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

11216680 is a wasteful number, since it uses less digits than its factorization.

11216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 11216680 is about 3349.1312306328. The cubic root of 11216680 is about 223.8488031543.

Adding to 11216680 its reverse (8661211), we get a palindrome (19877891).

The spelling of 11216680 in words is "eleven million, two hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 4597 9194 18388 22985 36776 45970 91940 183880 280417 560834 1121668 1402085 2243336 2804170 5608340 11216680