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11052032 = 21043251
BaseRepresentation
bin101010001010…
…010000000000
3202210111112112
4222022100000
510312131112
61032514452
7162640445
oct52122000
922714475
1011052032
116269612
12384ba28
13239c684
1416799cc
15e84a22
hexa8a400

11052032 has 44 divisors (see below), whose sum is σ = 22697136. Its totient is φ = 5376000.

The previous prime is 11052017. The next prime is 11052047. The reversal of 11052032 is 23025011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11052017) and next prime (11052047).

It is a super-2 number, since 2×110520322 = 244294822658048, which contains 22 as substring.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 11051998 and 11052016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43907 + ... + 44157.

It is an arithmetic number, because the mean of its divisors is an integer number (515844).

Almost surely, 211052032 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 11052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11348568).

11052032 is an abundant number, since it is smaller than the sum of its proper divisors (11645104).

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

11052032 is an equidigital number, since it uses as much as digits as its factorization.

11052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11052032 is about 3324.4596553425. The cubic root of 11052032 is about 222.7481186148.

Adding to 11052032 its reverse (23025011), we get a palindrome (34077043).

The spelling of 11052032 in words is "eleven million, fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 251 256 344 502 512 688 1004 1024 1376 2008 2752 4016 5504 8032 10793 11008 16064 21586 22016 32128 43172 44032 64256 86344 128512 172688 257024 345376 690752 1381504 2763008 5526016 11052032