Search a number
-
+
1403140320 = 25355151239
BaseRepresentation
bin101001110100010…
…0011100011100000
310121210020220200000
41103220203203200
510333200442240
6351122100000
746525332051
oct12350434340
93553226600
101403140320
116600440aa
12331aaa600
1319490ac5a
14d44cc728
15832b5430
hex53a238e0

1403140320 has 288 divisors, whose sum is σ = 5019356160. Its totient is φ = 370137600.

The previous prime is 1403140313. The next prime is 1403140351. The reversal of 1403140320 is 230413041.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1403140293 and 1403140302.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5870761 + ... + 5870999.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 21403140320 is an apocalyptic number.

1403140320 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 1403140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509678080).

1403140320 is an abundant number, since it is smaller than the sum of its proper divisors (3616215840).

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

1403140320 is a wasteful number, since it uses less digits than its factorization.

1403140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1403140320 is about 37458.5146528797. The cubic root of 1403140320 is about 1119.5247558535.

Adding to 1403140320 its reverse (230413041), we get a palindrome (1633553361).

The spelling of 1403140320 in words is "one billion, four hundred three million, one hundred forty thousand, three hundred twenty".