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11728052 = 2272531129
BaseRepresentation
bin101100101111…
…010010110100
3211001211212022
4230233102310
511000244202
61055212312
7201454400
oct54572264
924054768
1011728052
116690506
123b17098
13257829b
1417b4100
151069ea2
hexb2f4b4

11728052 has 36 divisors (see below), whose sum is σ = 24346980. Its totient is φ = 4927104.

The previous prime is 11728033. The next prime is 11728061. The reversal of 11728052 is 25082711.

It can be written as a sum of positive squares in 2 ways, for example, as 4351396 + 7376656 = 2086^2 + 2716^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9824 + ... + 10952.

It is an arithmetic number, because the mean of its divisors is an integer number (676305).

Almost surely, 211728052 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 11728052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12173490).

11728052 is an abundant number, since it is smaller than the sum of its proper divisors (12618928).

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

11728052 is a wasteful number, since it uses less digits than its factorization.

11728052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 11728052 is about 3424.6243589626. The cubic root of 11728052 is about 227.2001572521.

The spelling of 11728052 in words is "eleven million, seven hundred twenty-eight thousand, fifty-two".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1129 1484 2258 2597 4516 5194 7903 10388 15806 31612 55321 59837 110642 119674 221284 239348 418859 837718 1675436 2932013 5864026 11728052