Search a number
-
+
1320425400 = 2335272313669
BaseRepresentation
bin100111010110100…
…0001011110111000
310102000121120010110
41032231001132320
510201012103100
6335005144320
744502300510
oct11655013670
93360546113
101320425400
11618389168
1230a25b0a0
13180739c08
14c751a840
157adc7250
hex4eb417b8

1320425400 has 192 divisors, whose sum is σ = 4881830400. Its totient is φ = 288668160.

The previous prime is 1320425341. The next prime is 1320425437. The reversal of 1320425400 is 45240231.

1320425400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89766 + ... + 103434.

It is an arithmetic number, because the mean of its divisors is an integer number (25426200).

Almost surely, 21320425400 is an apocalyptic number.

1320425400 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 1320425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440915200).

1320425400 is an abundant number, since it is smaller than the sum of its proper divisors (3561405000).

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

1320425400 is a wasteful number, since it uses less digits than its factorization.

1320425400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13718 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1320425400 is about 36337.6581523906. The cubic root of 1320425400 is about 1097.0791380676.

Adding to 1320425400 its reverse (45240231), we get a palindrome (1365665631).

The spelling of 1320425400 in words is "one billion, three hundred twenty million, four hundred twenty-five thousand, four hundred".