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1123080 = 233572191
BaseRepresentation
bin100010010001100001000
32010001120120
410102030020
5241414310
640023240
712355200
oct4221410
92101516
101123080
116a7872
12461b20
1330425a
14213400
15172b70
hex112308

1123080 has 96 divisors (see below), whose sum is σ = 3939840. Its totient is φ = 255360.

The previous prime is 1123079. The next prime is 1123081. The reversal of 1123080 is 803211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1123079) and next prime (1123081).

It is a super-2 number, since 2×11230802 = 2522617372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1123081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5785 + ... + 5975.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

21123080 is an apocalyptic number.

1123080 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 1123080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969920).

1123080 is an abundant number, since it is smaller than the sum of its proper divisors (2816760).

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

1123080 is a wasteful number, since it uses less digits than its factorization.

1123080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1123080 is about 1059.7546885954. The cubic root of 1123080 is about 103.9449906325.

Adding to 1123080 its reverse (803211), we get a palindrome (1926291).

The spelling of 1123080 in words is "one million, one hundred twenty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 191 196 210 245 280 294 382 392 420 490 573 588 735 764 840 955 980 1146 1176 1337 1470 1528 1910 1960 2292 2674 2865 2940 3820 4011 4584 5348 5730 5880 6685 7640 8022 9359 10696 11460 13370 16044 18718 20055 22920 26740 28077 32088 37436 40110 46795 53480 56154 74872 80220 93590 112308 140385 160440 187180 224616 280770 374360 561540 1123080