Search a number
-
+
268134812 = 2211172947263
BaseRepresentation
bin11111111101101…
…10100110011100
3200200112122210222
433332312212130
51022120303222
642335020512
76434052101
oct1776664634
9620478728
10268134812
1112839a720
127596a738
1343721b6a
142787aaa8
1518817542
hexffb699c

268134812 has 96 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 107985920.

The previous prime is 268134809. The next prime is 268134827. The reversal of 268134812 is 218431862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1019393 + ... + 1019655.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2268134812 is an apocalyptic number.

268134812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268134812 is an abundant number, since it is smaller than the sum of its proper divisors (306667108).

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

268134812 is a wasteful number, since it uses less digits than its factorization.

268134812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 268134812 is about 16374.8225028548. The cubic root of 268134812 is about 644.8386608461.

It can be divided in two parts, 26 and 8134812, that multiplied together give a palindrome (211505112).

The spelling of 268134812 in words is "two hundred sixty-eight million, one hundred thirty-four thousand, eight hundred twelve".

Divisors: 1 2 4 11 17 22 29 34 44 47 58 68 94 116 187 188 263 319 374 493 517 526 638 748 799 986 1034 1052 1276 1363 1598 1972 2068 2726 2893 3196 4471 5423 5452 5786 7627 8789 8942 10846 11572 12361 14993 15254 17578 17884 21692 23171 24722 29986 30508 35156 46342 49181 49444 59972 83897 92684 98362 129659 135971 167794 196724 210137 254881 259318 271942 335588 358469 420274 509762 518636 543884 716938 840548 1019524 1426249 1433876 2311507 2852498 3943159 4623014 5704996 6093973 7886318 9246028 12187946 15772636 24375892 67033703 134067406 268134812