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11164328 = 237732731
BaseRepresentation
bin101010100101…
…101010101000
3210000012120122
4222211222220
510324224303
61035142412
7163616030
oct52455250
923005518
1011164328
116335a1a
1238a4a08
13240b816
1416a88c0
15ea7e38
hexaa5aa8

11164328 has 32 divisors (see below), whose sum is σ = 24260160. Its totient is φ = 4717440.

The previous prime is 11164327. The next prime is 11164357. The reversal of 11164328 is 82346111.

It is a junction number, because it is equal to n+sod(n) for n = 11164297 and 11164306.

It is not an unprimeable number, because it can be changed into a prime (11164327) 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, 2723 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (758130).

Almost surely, 211164328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11164328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130080).

11164328 is an abundant number, since it is smaller than the sum of its proper divisors (13095832).

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

11164328 is a wasteful number, since it uses less digits than its factorization.

11164328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2813 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 11164328 is about 3341.3063313620. The cubic root of 11164328 is about 223.5000008341.

The spelling of 11164328 in words is "eleven million, one hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 2731 4088 5462 10924 19117 21848 38234 76468 152936 199363 398726 797452 1395541 1594904 2791082 5582164 11164328