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268148136 = 23312299091
BaseRepresentation
bin11111111101110…
…01110110101000
3200200120100002110
433332321312220
51022121220021
642335202320
76434135664
oct1776716650
9620510073
10268148136
111283a9733
12759763a0
1343727c49
14278818a4
151881b476
hexffb9da8

268148136 has 32 divisors (see below), whose sum is σ = 670989600. Its totient is φ = 89300160.

The previous prime is 268148107. The next prime is 268148149. The reversal of 268148136 is 631841862.

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

It is a junction number, because it is equal to n+sod(n) for n = 268148094 and 268148103.

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 7 ways as a sum of consecutive naturals, for example, 24951 + ... + 34041.

It is an arithmetic number, because the mean of its divisors is an integer number (20968425).

Almost surely, 2268148136 is an apocalyptic number.

It is an amenable number.

268148136 is an abundant number, since it is smaller than the sum of its proper divisors (402841464).

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

268148136 is a wasteful number, since it uses less digits than its factorization.

268148136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10325 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 268148136 is about 16375.2293419054. The cubic root of 268148136 is about 644.8493416525.

Adding to 268148136 its reverse (631841862), we get a palindrome (899989998).

The spelling of 268148136 in words is "two hundred sixty-eight million, one hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 1229 2458 3687 4916 7374 9091 9832 14748 18182 27273 29496 36364 54546 72728 109092 218184 11172839 22345678 33518517 44691356 67037034 89382712 134074068 268148136