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268887108 = 223724311061
BaseRepresentation
bin10000000001101…
…110010001000100
3200201221212202210
4100001232101010
51022313341413
642403103420
76443334300
oct2001562104
9621855683
10268887108
11128863956
1276071b70
13439263c9
14279d4d00
15189153c3
hex1006e444

268887108 has 72 divisors (see below), whose sum is σ = 732219264. Its totient is φ = 76574400.

The previous prime is 268887083. The next prime is 268887109. The reversal of 268887108 is 801788862.

It is not an unprimeable number, because it can be changed into a prime (268887109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252898 + ... + 253958.

It is an arithmetic number, because the mean of its divisors is an integer number (10169712).

Almost surely, 2268887108 is an apocalyptic number.

268887108 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268887108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366109632).

268887108 is an abundant number, since it is smaller than the sum of its proper divisors (463332156).

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

268887108 is a wasteful number, since it uses less digits than its factorization.

268887108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 268887108 is about 16397.7775323365. Note that the first 3 decimals coincide. The cubic root of 268887108 is about 645.4411644434.

The spelling of 268887108 in words is "two hundred sixty-eight million, eight hundred eighty-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 431 588 862 1061 1293 1724 2122 2586 3017 3183 4244 5172 6034 6366 7427 9051 12068 12732 14854 18102 21119 22281 29708 36204 42238 44562 51989 63357 84476 89124 103978 126714 155967 207956 253428 311934 457291 623868 914582 1371873 1829164 2743746 3201037 5487492 6402074 9603111 12804148 19206222 22407259 38412444 44814518 67221777 89629036 134443554 268887108