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1256423040 = 27325331659
BaseRepresentation
bin100101011100011…
…0111111010000000
310020120011220101200
41022320313322000
510033121014130
6324401301200
743064263635
oct11270677200
93216156350
101256423040
11595244254
122b0934800
131703bb2b2
14bcc1a18c
1575483760
hex4ae37e80

1256423040 has 192 divisors, whose sum is σ = 4358296800. Its totient is φ = 333527040.

The previous prime is 1256423033. The next prime is 1256423083. The reversal of 1256423040 is 403246521.

1256423040 is a `hidden beast` number, since 12 + 5 + 642 + 3 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1256422995 and 1256423013.

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, 1906231 + ... + 1906889.

Almost surely, 21256423040 is an apocalyptic number.

1256423040 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 1256423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179148400).

1256423040 is an abundant number, since it is smaller than the sum of its proper divisors (3101873760).

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

1256423040 is a wasteful number, since it uses less digits than its factorization.

1256423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1256423040 is about 35446.0581729478. The cubic root of 1256423040 is about 1079.0592631111.

Adding to 1256423040 its reverse (403246521), we get a palindrome (1659669561).

The spelling of 1256423040 in words is "one billion, two hundred fifty-six million, four hundred twenty-three thousand, forty".