Search a number
-
+
1161360 = 243251613
BaseRepresentation
bin100011011100010010000
32012000002100
410123202100
5244130420
640520400
712604614
oct4334220
92160070
101161360
11723602
12480100
133187c5
14223344
1517e190
hex11b890

1161360 has 60 divisors (see below), whose sum is σ = 3902652. Its totient is φ = 309504.

The previous prime is 1161343. The next prime is 1161371. The reversal of 1161360 is 631611.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 589824 = 756^2 + 768^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87 + ... + 1526.

21161360 is an apocalyptic number.

1161360 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 1161360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951326).

1161360 is an abundant number, since it is smaller than the sum of its proper divisors (2741292).

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

1161360 is a wasteful number, since it uses less digits than its factorization.

1161360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1161360 is about 1077.6641406301. The cubic root of 1161360 is about 105.1128039388.

Adding to 1161360 its reverse (631611), we get a palindrome (1792971).

It can be divided in two parts, 1161 and 360, that added together give a square (1521 = 392).

The spelling of 1161360 in words is "one million, one hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1613 3226 4839 6452 8065 9678 12904 14517 16130 19356 24195 25808 29034 32260 38712 48390 58068 64520 72585 77424 96780 116136 129040 145170 193560 232272 290340 387120 580680 1161360