Search a number
-
+
16314096 = 243714787
BaseRepresentation
bin111110001110…
…111011110000
31010200211201210
4332032323300
513134022341
61341400120
7255444651
oct76167360
933624653
1016314096
119233027
125569040
1334c2816
142249528
151673c16
hexf8eef0

16314096 has 40 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 5360320.

The previous prime is 16314049. The next prime is 16314119. The reversal of 16314096 is 69041361.

It is a super-2 number, since 2×163140962 = 532299456594432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1015 + ... + 5801.

Almost surely, 216314096 is an apocalyptic number.

16314096 is a gapful number since it is divisible by the number (16) 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 16314096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

16314096 is an abundant number, since it is smaller than the sum of its proper divisors (26433168).

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

16314096 is a wasteful number, since it uses less digits than its factorization.

16314096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 16314096 is about 4039.0711803582. The cubic root of 16314096 is about 253.6224369551.

The spelling of 16314096 in words is "sixteen million, three hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 4787 9574 14361 19148 28722 38296 57444 76592 114888 229776 339877 679754 1019631 1359508 2039262 2719016 4078524 5438032 8157048 16314096