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1316226240 = 26335723109
BaseRepresentation
bin100111001110100…
…0000010011000000
310101201201012222000
41032131000103000
510143423214430
6334335144000
744421511200
oct11635002300
93351635860
101316226240
11615a8028a
12308975000
1317c8c97c4
14c6b46400
157a847e60
hex4e7404c0

1316226240 has 336 divisors, whose sum is σ = 5403189600. Its totient is φ = 300754944.

The previous prime is 1316226209. The next prime is 1316226287. The reversal of 1316226240 is 426226131.

1316226240 is a `hidden beast` number, since 1 + 3 + 16 + 22 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421806 + ... + 424914.

Almost surely, 21316226240 is an apocalyptic number.

1316226240 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 1316226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701594800).

1316226240 is an abundant number, since it is smaller than the sum of its proper divisors (4086963360).

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

1316226240 is a wasteful number, since it uses less digits than its factorization.

1316226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1316226240 is about 36279.8324141664. The cubic root of 1316226240 is about 1095.9149418068.

The spelling of 1316226240 in words is "one billion, three hundred sixteen million, two hundred twenty-six thousand, two hundred forty".