Search a number
BaseRepresentation
bin10010100110
31122002
4102212
514230
65302
73320
oct2246
91562
101190
11992
12832
13707
14610
15545
hex4a6

1190 has 16 divisors (see below), whose sum is σ = 2592. Its totient is φ = 384.

The previous prime is 1187. The next prime is 1193. The reversal of 1190 is 911.

1190 is nontrivially palindromic in base 13 and base 15.

1190 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

1190 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1187) and next prime (1193).

It is a super-2 number, since 2×11902 = 2832200, which contains 22 as substring.

1190 is an undulating number in base 13 and base 15.

1190 is strictly pandigital in base 5.

It is a Curzon number.

It is a plaindrome in base 8.

It is a nialpdrome in base 7, base 11, base 12 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 78.

It is an arithmetic number, because the mean of its divisors is an integer number (162).

1190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 34×35.

1190 is an abundant number, since it is smaller than the sum of its proper divisors (1402).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296).

1190 is a wasteful number, since it uses less digits than its factorization.

1190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1190 is about 34.4963766213. The cubic root of 1190 is about 10.5969850212.

It can be divided in two parts, 11 and 90, that multiplied together give a triangular number (990 = T44).

The spelling of 1190 in words is "one thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1190