Search a number
-
+
1082160 = 24345167
BaseRepresentation
bin100001000001100110000
32000222110000
410020030300
5234112120
635110000
712124662
oct4101460
92028400
101082160
1167a052
12442300
132bb741
14202532
15165990
hex108330

1082160 has 100 divisors (see below), whose sum is σ = 3781008. Its totient is φ = 286848.

The previous prime is 1082153. The next prime is 1082161. The reversal of 1082160 is 612801.

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

It is not an unprimeable number, because it can be changed into a prime (1082161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6397 + ... + 6563.

21082160 is an apocalyptic number.

1082160 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 1082160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890504).

1082160 is an abundant number, since it is smaller than the sum of its proper divisors (2698848).

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

1082160 is a wasteful number, since it uses less digits than its factorization.

1082160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1082160 is about 1040.2691959296. The cubic root of 1082160 is about 102.6669102897. Note that the first 3 decimals are identical.

Adding to 1082160 its reverse (612801), we get a palindrome (1694961).

The spelling of 1082160 in words is "one million, eighty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 167 180 216 240 270 324 334 360 405 432 501 540 648 668 720 810 835 1002 1080 1296 1336 1503 1620 1670 2004 2160 2505 2672 3006 3240 3340 4008 4509 5010 6012 6480 6680 7515 8016 9018 10020 12024 13360 13527 15030 18036 20040 22545 24048 27054 30060 36072 40080 45090 54108 60120 67635 72144 90180 108216 120240 135270 180360 216432 270540 360720 541080 1082160