Search a number
-
+
1327053 = 37134861
BaseRepresentation
bin101000011111111001101
32111102101010
411003333031
5314431203
644235433
714164650
oct5037715
92442333
101327053
11827042
1253bb79
13376050
14267897
151b3303
hex143fcd

1327053 has 16 divisors (see below), whose sum is σ = 2178176. Its totient is φ = 699840.

The previous prime is 1327043. The next prime is 1327063. The reversal of 1327053 is 3507231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1327043) and next prime (1327063).

It is not a de Polignac number, because 1327053 - 26 = 1326989 is a prime.

It is a super-3 number, since 3×13270533 = 7011098345681333631, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2158 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (136136).

21327053 is an apocalyptic number.

1327053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1327053 is a deficient number, since it is larger than the sum of its proper divisors (851123).

1327053 is a wasteful number, since it uses less digits than its factorization.

1327053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 1327053 is about 1151.9778643707. The cubic root of 1327053 is about 109.8911595600.

The spelling of 1327053 in words is "one million, three hundred twenty-seven thousand, fifty-three".

Divisors: 1 3 7 13 21 39 91 273 4861 14583 34027 63193 102081 189579 442351 1327053