Search a number
BaseRepresentation
bin10100001010
31202210
4110022
520130
65550
73522
oct2412
91683
101290
11a73
128b6
13783
14682
155b0
hex50a

1290 has 16 divisors (see below), whose sum is σ = 3168. Its totient is φ = 336.

The previous prime is 1289. The next prime is 1291. The reversal of 1290 is 921.

Added to its reverse (921) it gives a triangular number (2211 = T66).

1290 = 142 + 152 + ... + 182.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1289) and next prime (1291).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 6 and base 11.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (1291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 51.

It is an arithmetic number, because the mean of its divisors is an integer number (198).

21290 is an apocalyptic number.

1290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584).

1290 is an abundant number, since it is smaller than the sum of its proper divisors (1878).

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

1290 is a wasteful number, since it uses less digits than its factorization.

1290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1290 is about 35.9165699921. The cubic root of 1290 is about 10.8858723345.

Multiplying 1290 by its product of nonzero digits (18), we get a triangular number (23220 = T215).

Adding to 1290 its reverse (921), we get a triangular number (2211 = T66).

The spelling of 1290 in words is "one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290