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11116296 = 2332181853
BaseRepresentation
bin101010011001…
…111100001000
3202220202200200
4222121330020
510321210141
61034132200
7163326012
oct52317410
922822620
1011116296
116302924
123881060
1323c29b9
1416951b2
15e98ab6
hexa99f08

11116296 has 48 divisors (see below), whose sum is σ = 30308460. Its totient is φ = 3680640.

The previous prime is 11116277. The next prime is 11116307. The reversal of 11116296 is 69261111.

It can be written as a sum of positive squares in 2 ways, for example, as 7452900 + 3663396 = 2730^2 + 1914^2 .

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 12606 + ... + 13458.

Almost surely, 211116296 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 11116296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154230).

11116296 is an abundant number, since it is smaller than the sum of its proper divisors (19192164).

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

11116296 is a wasteful number, since it uses less digits than its factorization.

11116296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1039 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 11116296 is about 3334.1109759575. The cubic root of 11116296 is about 223.1790206512.

The spelling of 11116296 in words is "eleven million, one hundred sixteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 853 1086 1448 1629 1706 2172 2559 3258 3412 4344 5118 6516 6824 7677 10236 13032 15354 20472 30708 61416 154393 308786 463179 617572 926358 1235144 1389537 1852716 2779074 3705432 5558148 11116296