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1425813120 = 273251714561
BaseRepresentation
bin101010011111100…
…0010111010000000
310200100220210220100
41110333002322000
510410002004440
6353252042400
750222132364
oct12477027200
93610823810
101425813120
1167191a556
12339603400
13199518b04
14d75112a4
1585293230
hex54fc2e80

1425813120 has 192 divisors, whose sum is σ = 5213487240. Its totient is φ = 357826560.

The previous prime is 1425813119. The next prime is 1425813133. The reversal of 1425813120 is 213185241.

It can be written as a sum of positive squares in 4 ways, for example, as 1414361664 + 11451456 = 37608^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90640 + ... + 105200.

Almost surely, 21425813120 is an apocalyptic number.

1425813120 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 1425813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606743620).

1425813120 is an abundant number, since it is smaller than the sum of its proper divisors (3787674120).

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

1425813120 is a wasteful number, since it uses less digits than its factorization.

1425813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14603 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1425813120 is about 37759.9406779195. The cubic root of 1425813120 is about 1125.5225542768.

Adding to 1425813120 its reverse (213185241), we get a palindrome (1638998361).

The spelling of 1425813120 in words is "one billion, four hundred twenty-five million, eight hundred thirteen thousand, one hundred twenty".