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1152180 = 2232537173
BaseRepresentation
bin100011001010010110100
32011112111100
410121102310
5243332210
640410100
712536061
oct4312264
92145440
101152180
11717717
12476930
13314583
1421dc68
1517b5c0
hex1194b4

1152180 has 72 divisors (see below), whose sum is σ = 3610152. Its totient is φ = 297216.

The previous prime is 1152163. The next prime is 1152181. The reversal of 1152180 is 812511.

1152180 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 580644 + 571536 = 762^2 + 756^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152181) 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, 6574 + ... + 6746.

It is an arithmetic number, because the mean of its divisors is an integer number (50141).

21152180 is an apocalyptic number.

1152180 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 1152180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805076).

1152180 is an abundant number, since it is smaller than the sum of its proper divisors (2457972).

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

1152180 is a wasteful number, since it uses less digits than its factorization.

1152180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1152180 is about 1073.3964784738. The cubic root of 1152180 is about 104.8351153619.

Adding to 1152180 its reverse (812511), we get a palindrome (1964691).

The spelling of 1152180 in words is "one million, one hundred fifty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 173 180 185 222 333 346 370 444 519 555 666 692 740 865 1038 1110 1332 1557 1665 1730 2076 2220 2595 3114 3330 3460 5190 6228 6401 6660 7785 10380 12802 15570 19203 25604 31140 32005 38406 57609 64010 76812 96015 115218 128020 192030 230436 288045 384060 576090 1152180