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16286268 = 22319611171
BaseRepresentation
bin111110001000…
…001000111100
31010122102120010
4332020020330
513132130033
61341023220
7255300555
oct76101074
933572503
1016286268
119214129
125554b10
1334b2c5b
14223d32c
15166a863
hexf8823c

16286268 has 48 divisors (see below), whose sum is σ = 40691840. Its totient is φ = 5054400.

The previous prime is 16286267. The next prime is 16286273. The reversal of 16286268 is 86268261.

16286268 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16286261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13323 + ... + 14493.

Almost surely, 216286268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16286268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20345920).

16286268 is an abundant number, since it is smaller than the sum of its proper divisors (24405572).

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

16286268 is a wasteful number, since it uses less digits than its factorization.

16286268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1256 counting only the distinct ones).

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

The square root of 16286268 is about 4035.6248586805. The cubic root of 16286268 is about 253.4781481968.

The spelling of 16286268 in words is "sixteen million, two hundred eighty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 366 732 1159 1171 2318 2342 3477 3513 4636 4684 6954 7026 13908 14052 22249 44498 66747 71431 88996 133494 142862 214293 266988 285724 428586 857172 1357189 2714378 4071567 5428756 8143134 16286268