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1317284640 = 2533574127
BaseRepresentation
bin100111010000100…
…0010101100100000
310101210200222211000
41032201002230200
510144211102030
6334413552000
744433510000
oct11641025440
93353628730
101317284640
116166334a1
123091a5600
1317cbaa489
14c6d40000
157a9a6860
hex4e842b20

1317284640 has 480 divisors, whose sum is σ = 5420943360. Its totient is φ = 298722816.

The previous prime is 1317284623. The next prime is 1317284669. The reversal of 1317284640 is 464827131.

1317284640 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 2 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1317284595 and 1317284604.

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 79 ways as a sum of consecutive naturals, for example, 10372257 + ... + 10372383.

It is an arithmetic number, because the mean of its divisors is an integer number (11293632).

Almost surely, 21317284640 is an apocalyptic number.

1317284640 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 1317284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710471680).

1317284640 is an abundant number, since it is smaller than the sum of its proper divisors (4103658720).

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

1317284640 is an equidigital number, since it uses as much as digits as its factorization.

1317284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1317284640 is about 36294.4160994498. The cubic root of 1317284640 is about 1096.2086110802.

The spelling of 1317284640 in words is "one billion, three hundred seventeen million, two hundred eighty-four thousand, six hundred forty".