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1360124168 = 23132172592
BaseRepresentation
bin101000100010001…
…1101100100001000
310111210022110121012
41101010131210020
510241142433133
6342544103052
745463602404
oct12104354410
93453273535
101360124168
11638833467
1231b604a88
13188a29600
14cc8d2104
157e619b48
hex5111d908

1360124168 has 108 divisors (see below), whose sum is σ = 2984053815. Its totient is φ = 580809216.

The previous prime is 1360124149. The next prime is 1360124189. The reversal of 1360124168 is 8614210631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 551404324 + 808719844 = 23482^2 + 28438^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26078.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 23052923 + ... + 23052981.

Almost surely, 21360124168 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 1360124168

1360124168 is an abundant number, since it is smaller than the sum of its proper divisors (1623929647).

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

1360124168 is a wasteful number, since it uses less digits than its factorization.

1360124168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1360124168 is about 36879.8612795656. The cubic root of 1360124168 is about 1107.9653683780.

Multiplying 1360124168 by its sum of digits (32), we get a square (43523973376 = 2086242).

Adding to 1360124168 its reverse (8614210631), we get a palindrome (9974334799).

The spelling of 1360124168 in words is "one billion, three hundred sixty million, one hundred twenty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 59 68 104 118 136 169 221 236 289 338 442 472 578 676 767 884 1003 1156 1352 1534 1768 2006 2312 2873 3068 3481 3757 4012 5746 6136 6962 7514 8024 9971 11492 13039 13924 15028 17051 19942 22984 26078 27848 30056 34102 39884 45253 48841 52156 59177 68204 79768 90506 97682 104312 118354 136408 169507 181012 195364 221663 236708 339014 362024 390728 443326 473416 588289 678028 769301 886652 1006009 1176578 1356056 1538602 1773304 2012018 2353156 2881619 3077204 4024036 4706312 5763238 6154408 8048072 10000913 11526476 13078117 20001826 23052952 26156234 40003652 52312468 80007304 104624936 170015521 340031042 680062084 1360124168