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1317068480 = 265713311459
BaseRepresentation
bin100111010000000…
…1101111011000000
310101210022000022002
41032200031323000
510144132142410
6334405203132
744431616540
oct11640157300
93353260262
101317068480
116164a6052
123091004a8
1317cb32c80
14c6cc5320
157a9627a5
hex4e80dec0

1317068480 has 224 divisors, whose sum is σ = 3987271680. Its totient is φ = 403107840.

The previous prime is 1317068479. The next prime is 1317068509. The reversal of 1317068480 is 848607131.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 901991 + ... + 903449.

It is an arithmetic number, because the mean of its divisors is an integer number (17800320).

Almost surely, 21317068480 is an apocalyptic number.

1317068480 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 1317068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993635840).

1317068480 is an abundant number, since it is smaller than the sum of its proper divisors (2670203200).

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

1317068480 is a wasteful number, since it uses less digits than its factorization.

1317068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 1317068480 is about 36291.4381087330. The cubic root of 1317068480 is about 1096.1486469670.

The spelling of 1317068480 in words is "one billion, three hundred seventeen million, sixty-eight thousand, four hundred eighty".