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11059200 = 2143352
BaseRepresentation
bin101010001100…
…000000000000
3202210212101000
4222030000000
510312343300
61033012000
7163000365
oct52140000
922725330
1011059200
116273a39
123854000
1323a2a09
14167c46c
15e86c00
hexa8c000

11059200 has 180 divisors, whose sum is σ = 40631080. Its totient is φ = 2949120.

The previous prime is 11059187. The next prime is 11059201. The reversal of 11059200 is 295011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ (2!)7.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11059201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2211838 + ... + 2211842.

Almost surely, 211059200 is an apocalyptic number.

11059200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20315540).

11059200 is an abundant number, since it is smaller than the sum of its proper divisors (29571880).

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

11059200 is an frugal number, since it uses more digits than its factorization.

11059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11059200 is about 3325.5375505322. The cubic root of 11059200 is about 222.7962640134.

The spelling of 11059200 in words is "eleven million, fifty-nine thousand, two hundred".