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1317980160 = 2113457227
BaseRepresentation
bin100111010001110…
…1100100000000000
310101212000022220000
41032203230200000
510144400331120
6334440520000
744442434520
oct11643544000
93355008800
101317980160
11616a69002
12309480000
13180091c23
14c7081680
157aa92990
hex4e8ec800

1317980160 has 480 divisors, whose sum is σ = 5422697280. Its totient is φ = 299925504.

The previous prime is 1317980113. The next prime is 1317980161. The reversal of 1317980160 is 610897131.

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 zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (1317980161) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5805967 + ... + 5806193.

It is an arithmetic number, because the mean of its divisors is an integer number (11297286).

Almost surely, 21317980160 is an apocalyptic number.

1317980160 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 1317980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711348640).

1317980160 is an abundant number, since it is smaller than the sum of its proper divisors (4104717120).

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

1317980160 is an equidigital number, since it uses as much as digits as its factorization.

1317980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1317980160 is about 36303.9964742175. The cubic root of 1317980160 is about 1096.4015081054.

It can be divided in two parts, 13179 and 80160, that added together give a palindrome (93339).

The spelling of 1317980160 in words is "one billion, three hundred seventeen million, nine hundred eighty thousand, one hundred sixty".