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1268873360 = 245109145513
BaseRepresentation
bin100101110100001…
…0111100010010000
310021102121110000122
41023220113202100
510044312421420
6325524205412
743305150146
oct11350274220
93242543018
101268873360
115a1278377
122b4b39868
13172b5a251
14c073b596
15765e2725
hex4ba17890

1268873360 has 40 divisors (see below), whose sum is σ = 2977216440. Its totient is φ = 502889472.

The previous prime is 1268873341. The next prime is 1268873363. The reversal of 1268873360 is 633788621.

It can be written as a sum of positive squares in 4 ways, for example, as 211062784 + 1057810576 = 14528^2 + 32524^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12688733602 = 3220079207435379200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268873363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64037 + ... + 81476.

It is an arithmetic number, because the mean of its divisors is an integer number (74430411).

Almost surely, 21268873360 is an apocalyptic number.

1268873360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268873360 is an abundant number, since it is smaller than the sum of its proper divisors (1708343080).

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

1268873360 is a wasteful number, since it uses less digits than its factorization.

1268873360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145635 (or 145629 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 1268873360 is about 35621.2487147770. The cubic root of 1268873360 is about 1082.6118085224.

The spelling of 1268873360 in words is "one billion, two hundred sixty-eight million, eight hundred seventy-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 145513 291026 582052 727565 1164104 1455130 2328208 2910260 5820520 11641040 15860917 31721834 63443668 79304585 126887336 158609170 253774672 317218340 634436680 1268873360