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16313936 = 243121061
BaseRepresentation
bin111110001110…
…111001010000
31010200211111212
4332032321100
513134021221
61341355252
7255444332
oct76167120
933624455
1016313936
1192329a1
125568b28
1334c2722
142249452
151673b5b
hexf8ee50

16313936 has 30 divisors (see below), whose sum is σ = 32691546. Its totient is φ = 7886400.

The previous prime is 16313933. The next prime is 16313953. The reversal of 16313936 is 63931361.

It can be written as a sum of positive squares in only one way, i.e., 14776336 + 1537600 = 3844^2 + 1240^2 .

It is a super-2 number, since 2×163139362 = 532289015624192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16313933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14846 + ... + 15906.

Almost surely, 216313936 is an apocalyptic number.

16313936 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 16313936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345773).

16313936 is an abundant number, since it is smaller than the sum of its proper divisors (16377610).

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

16313936 is a wasteful number, since it uses less digits than its factorization.

16313936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1094 counting only the distinct ones).

The product of its digits is 8748, while the sum is 32.

The square root of 16313936 is about 4039.0513737758. The cubic root of 16313936 is about 253.6216078210.

The spelling of 16313936 in words is "sixteen million, three hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1061 1922 2122 3844 4244 7688 8488 15376 16976 32891 65782 131564 263128 526256 1019621 2039242 4078484 8156968 16313936