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11012608 = 29137157
BaseRepresentation
bin101010000000…
…101000000000
3202201111110101
4222000220000
510304400413
61032012144
7162414505
oct52005000
922644411
1011012608
116241a32
123831054
132387749
1416694ac
15e77edd
hexa80a00

11012608 has 40 divisors (see below), whose sum is σ = 22305492. Its totient is φ = 5431296.

The previous prime is 11012579. The next prime is 11012611. The reversal of 11012608 is 80621011.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 43264 = 3312^2 + 208^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70066 + ... + 70222.

Almost surely, 211012608 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 11012608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152746).

11012608 is an abundant number, since it is smaller than the sum of its proper divisors (11292884).

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

11012608 is an equidigital number, since it uses as much as digits as its factorization.

11012608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 11012608 is about 3318.5249735387. The cubic root of 11012608 is about 222.4829461322.

Adding to 11012608 its reverse (80621011), we get a palindrome (91633619).

The spelling of 11012608 in words is "eleven million, twelve thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 128 137 157 256 274 314 512 548 628 1096 1256 2192 2512 4384 5024 8768 10048 17536 20096 21509 35072 40192 43018 70144 80384 86036 172072 344144 688288 1376576 2753152 5506304 11012608