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11098000 = 245331179
BaseRepresentation
bin101010010101…
…011110010000
3202212211121001
4222111132100
510320114000
61033511344
7163221454
oct52253620
922784531
1011098000
1162a0101
123872554
1323b7584
14168c664
15e9346a
hexa95790

11098000 has 80 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 4272000.

The previous prime is 11097997. The next prime is 11098001. The reversal of 11098000 is 89011.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11098001) by changing a digit.

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, 61911 + ... + 62089.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 211098000 is an apocalyptic number.

11098000 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 11098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

11098000 is an abundant number, since it is smaller than the sum of its proper divisors (16757360).

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

11098000 is a wasteful number, since it uses less digits than its factorization.

11098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 11098000 is about 3331.3660861574. The cubic root of 11098000 is about 223.0565120506.

The spelling of 11098000 in words is "eleven million, ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 179 200 248 250 310 358 400 496 500 620 716 775 895 1000 1240 1432 1550 1790 2000 2480 2864 3100 3580 3875 4475 5549 6200 7160 7750 8950 11098 12400 14320 15500 17900 22196 22375 27745 31000 35800 44392 44750 55490 62000 71600 88784 89500 110980 138725 179000 221960 277450 358000 443920 554900 693625 1109800 1387250 2219600 2774500 5549000 11098000