Search a number
-
+
1180820 = 2251723151
BaseRepresentation
bin100100000010010010100
32012222210002
410200102110
5300241240
641150432
713015424
oct4402224
92188702
101180820
11737193
1248b418
13324614
1422a484
15184d15
hex120494

1180820 has 48 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 422400.

The previous prime is 1180819. The next prime is 1180847. The reversal of 1180820 is 280811.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1180792 and 1180801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7745 + ... + 7895.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

21180820 is an apocalyptic number.

1180820 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 1180820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

1180820 is an abundant number, since it is smaller than the sum of its proper divisors (1577068).

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

1180820 is a wasteful number, since it uses less digits than its factorization.

1180820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1180820 is about 1086.6554191647. The cubic root of 1180820 is about 105.6966525948.

Subtracting from 1180820 its reverse (280811), we obtain a palindrome (900009).

The spelling of 1180820 in words is "one million, one hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 151 170 230 302 340 391 460 604 755 782 1510 1564 1955 2567 3020 3473 3910 5134 6946 7820 10268 12835 13892 17365 25670 34730 51340 59041 69460 118082 236164 295205 590410 1180820