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1317214080 = 273257213359
BaseRepresentation
bin100111010000011…
…0001011110000000
310101210120102000200
41032200301132000
510144201322310
6334412245200
744433064200
oct11640613600
93353512020
101317214080
11616595486
12309170800
1317cb84320
14c6d22400
157a9909c0
hex4e831780

1317214080 has 576 divisors, whose sum is σ = 5713999200. Its totient is φ = 277143552.

The previous prime is 1317214079. The next prime is 1317214091. The reversal of 1317214080 is 804127131.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668941 + ... + 3669299.

Almost surely, 21317214080 is an apocalyptic number.

1317214080 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 1317214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856999600).

1317214080 is an abundant number, since it is smaller than the sum of its proper divisors (4396785120).

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

1317214080 is a wasteful number, since it uses less digits than its factorization.

1317214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1317214080 is about 36293.4440360790. Note that the first 3 decimals coincide. The cubic root of 1317214080 is about 1096.1890380235.

The spelling of 1317214080 in words is "one billion, three hundred seventeen million, two hundred fourteen thousand, eighty".