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11053000 = 235371579
BaseRepresentation
bin101010001010…
…011111001000
3202210112212101
4222022133020
510312144000
61032523144
7162643330
oct52123710
922715771
1011053000
11626a312
1238504b4
13239cc4a
14167a0c0
15e84e6a
hexa8a7c8

11053000 has 64 divisors (see below), whose sum is σ = 29577600. Its totient is φ = 3787200.

The previous prime is 11052967. The next prime is 11053013. The reversal of 11053000 is 35011.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 15 ways as a sum of consecutive naturals, for example, 6211 + ... + 7789.

It is an arithmetic number, because the mean of its divisors is an integer number (462150).

Almost surely, 211053000 is an apocalyptic number.

11053000 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 11053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14788800).

11053000 is an abundant number, since it is smaller than the sum of its proper divisors (18524600).

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

11053000 is a wasteful number, since it uses less digits than its factorization.

11053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 11053000 is about 3324.6052397240. The cubic root of 11053000 is about 222.7546216085.

Adding to 11053000 its reverse (35011), we get a palindrome (11088011).

The spelling of 11053000 in words is "eleven million, fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1579 1750 3158 3500 6316 7000 7895 11053 12632 15790 22106 31580 39475 44212 55265 63160 78950 88424 110530 157900 197375 221060 276325 315800 394750 442120 552650 789500 1105300 1381625 1579000 2210600 2763250 5526500 11053000