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1099120 = 245111249
BaseRepresentation
bin100001100010101110000
32001211201011
410030111300
5240132440
635320304
712225301
oct4142560
92054634
101099120
11690870
12450094
132c6389
142087a8
1516a9ea
hex10c570

1099120 has 40 divisors (see below), whose sum is σ = 2790000. Its totient is φ = 399360.

The previous prime is 1099117. The next prime is 1099121. The reversal of 1099120 is 219901.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1099091 and 1099100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 1504.

It is an arithmetic number, because the mean of its divisors is an integer number (69750).

21099120 is an apocalyptic number.

1099120 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 1099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395000).

1099120 is an abundant number, since it is smaller than the sum of its proper divisors (1690880).

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

1099120 is a wasteful number, since it uses less digits than its factorization.

1099120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 1099120 is about 1048.3892406926. The cubic root of 1099120 is about 103.2004767320.

It can be divided in two parts, 10991 and 20, that added together give a palindrome (11011).

The spelling of 1099120 in words is "one million, ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1249 2498 4996 6245 9992 12490 13739 19984 24980 27478 49960 54956 68695 99920 109912 137390 219824 274780 549560 1099120