Search a number
-
+
1321391232 = 273672172
BaseRepresentation
bin100111011000010…
…1101010010000000
310102002102122000000
41032300231102000
510201234004412
6335042000000
744513432400
oct11660552200
93362378000
101321391232
11618988877
1230a646000
131809b7705
14c76cc800
157b0184dc
hex4ec2d480

1321391232 has 504 divisors, whose sum is σ = 4877233785. Its totient is φ = 355332096.

The previous prime is 1321391189. The next prime is 1321391261. The reversal of 1321391232 is 2321931231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1209370176 + 112021056 = 34776^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25704.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1321391196 and 1321391205.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 77728888 + ... + 77728904.

Almost surely, 21321391232 is an apocalyptic number.

1321391232 is a gapful number since it is divisible by the number (12) 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 1321391232

1321391232 is an abundant number, since it is smaller than the sum of its proper divisors (3555842553).

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

1321391232 is an frugal number, since it uses more digits than its factorization.

1321391232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 29 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 1321391232 is about 36350.9454072380. The cubic root of 1321391232 is about 1097.3465609488.

The spelling of 1321391232 in words is "one billion, three hundred twenty-one million, three hundred ninety-one thousand, two hundred thirty-two".