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11116352 = 261331431
BaseRepresentation
bin101010011001…
…111101000000
3202220202202202
4222121331000
510321210402
61034132332
7163326122
oct52317500
922822682
1011116352
116302975
1238810a8
1323c2a30
141695212
15e98b02
hexa99f40

11116352 has 56 divisors (see below), whose sum is σ = 24579072. Its totient is φ = 4953600.

The previous prime is 11116333. The next prime is 11116361. The reversal of 11116352 is 25361111.

It is a congruent number.

It is an unprimeable number.

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, 25577 + ... + 26007.

It is an arithmetic number, because the mean of its divisors is an integer number (438912).

Almost surely, 211116352 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 11116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289536).

11116352 is an abundant number, since it is smaller than the sum of its proper divisors (13462720).

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

11116352 is a wasteful number, since it uses less digits than its factorization.

11116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its digits is 180, while the sum is 20.

The square root of 11116352 is about 3334.1193739877. The cubic root of 11116352 is about 223.1793954164.

Adding to 11116352 its reverse (25361111), we get a palindrome (36477463).

The spelling of 11116352 in words is "eleven million, one hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 431 496 806 832 862 992 1612 1724 1984 3224 3448 5603 6448 6896 11206 12896 13361 13792 22412 25792 26722 27584 44824 53444 89648 106888 173693 179296 213776 347386 358592 427552 694772 855104 1389544 2779088 5558176 11116352