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1268870688 = 253220992
BaseRepresentation
bin100101110100001…
…0110111000100000
310021102121022100200
41023220112320200
510044312330223
6325524145200
743305136311
oct11350267040
93242538320
101268870688
115a1276368
122b4b38200
13172b58c77
14c073a608
15765e1a43
hex4ba16e20

1268870688 has 54 divisors (see below), whose sum is σ = 3610070919. Its totient is φ = 422755392.

The previous prime is 1268870683. The next prime is 1268870719. The reversal of 1268870688 is 8860788621.

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 only one way, i.e., 634435344 + 634435344 = 25188^2 + 25188^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25188.

It is a super-2 number, since 2×12688706882 = 3220065645731186688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268870683) 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 8 ways as a sum of consecutive naturals, for example, 603463 + ... + 605561.

Almost surely, 21268870688 is an apocalyptic number.

1268870688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1268870688 is an abundant number, since it is smaller than the sum of its proper divisors (2341200231).

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

1268870688 is an frugal number, since it uses more digits than its factorization.

1268870688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 1268870688 is about 35621.2112090535. The cubic root of 1268870688 is about 1082.6110485987.

The spelling of 1268870688 in words is "one billion, two hundred sixty-eight million, eight hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2099 4198 6297 8396 12594 16792 18891 25188 33584 37782 50376 67168 75564 100752 151128 201504 302256 604512 4405801 8811602 13217403 17623204 26434806 35246408 39652209 52869612 70492816 79304418 105739224 140985632 158608836 211478448 317217672 422956896 634435344 1268870688