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1123380 = 22325792
BaseRepresentation
bin100010010010000110100
32010001222200
410102100310
5241422010
640024500
712356106
oct4222064
92101880
101123380
116a8015
12462130
1330442b
14213576
15172cc0
hex112434

1123380 has 54 divisors (see below), whose sum is σ = 3451266. Its totient is φ = 295776.

The previous prime is 1123379. The next prime is 1123391. The reversal of 1123380 is 833211.

It can be written as a sum of positive squares in only one way, i.e., 898704 + 224676 = 948^2 + 474^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14181 + ... + 14259.

21123380 is an apocalyptic number.

1123380 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 1123380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725633).

1123380 is an abundant number, since it is smaller than the sum of its proper divisors (2327886).

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

1123380 is a wasteful number, since it uses less digits than its factorization.

1123380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1123380 is about 1059.8962213349. The cubic root of 1123380 is about 103.9542451591.

Adding to 1123380 its reverse (833211), we get a palindrome (1956591).

The spelling of 1123380 in words is "one million, one hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 6241 7110 12482 14220 18723 24964 31205 37446 56169 62410 74892 93615 112338 124820 187230 224676 280845 374460 561690 1123380