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1317284136 = 2332719151911
BaseRepresentation
bin100111010000100…
…0010100100101000
310101210200222010100
41032201002210220
510144211043021
6334413545400
744433505350
oct11641024450
93353628110
101317284136
11616633083
123091a5260
1317cbaa18c
14c6d3db60
157a9a6626
hex4e842928

1317284136 has 192 divisors, whose sum is σ = 4325068800. Its totient is φ = 353808000.

The previous prime is 1317284131. The next prime is 1317284159. The reversal of 1317284136 is 6314827131.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1317284136.

It is not an unprimeable number, because it can be changed into a prime (1317284131) 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 47 ways as a sum of consecutive naturals, for example, 1445521 + ... + 1446431.

It is an arithmetic number, because the mean of its divisors is an integer number (22526400).

Almost surely, 21317284136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317284136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162534400).

1317284136 is an abundant number, since it is smaller than the sum of its proper divisors (3007784664).

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

1317284136 is a wasteful number, since it uses less digits than its factorization.

1317284136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1093 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1317284136 is about 36294.4091562323. The cubic root of 1317284136 is about 1096.2084712751.

The spelling of 1317284136 in words is "one billion, three hundred seventeen million, two hundred eighty-four thousand, one hundred thirty-six".