Search a number
-
+
11000616 = 2331141669
BaseRepresentation
bin101001111101…
…101100101000
3202200220000020
4221331230220
510304004431
61031440440
7162334524
oct51755450
922626006
1011000616
116233a20
123826120
132382153
141664d84
15e74696
hexa7db28

11000616 has 32 divisors (see below), whose sum is σ = 30002400. Its totient is φ = 3333440.

The previous prime is 11000603. The next prime is 11000623. The reversal of 11000616 is 61600011.

It is a junction number, because it is equal to n+sod(n) for n = 11000595 and 11000604.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20571 + ... + 21098.

It is an arithmetic number, because the mean of its divisors is an integer number (937575).

Almost surely, 211000616 is an apocalyptic number.

It is an amenable number.

11000616 is an abundant number, since it is smaller than the sum of its proper divisors (19001784).

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

11000616 is a wasteful number, since it uses less digits than its factorization.

11000616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41689 (or 41685 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11000616 is about 3316.7176545494. The cubic root of 11000616 is about 222.4021604089.

Adding to 11000616 its reverse (61600011), we get a palindrome (72600627).

The spelling of 11000616 in words is "eleven million, six hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 41669 83338 125007 166676 250014 333352 458359 500028 916718 1000056 1375077 1833436 2750154 3666872 5500308 11000616