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16140096 = 263274003
BaseRepresentation
bin111101100100…
…011101000000
31010101000001100
4331210131000
513112440341
61333534400
7254121450
oct75443500
933330040
1016140096
119124325
1254a4400
13346156b
142201d60
15163c3b6
hexf64740

16140096 has 84 divisors (see below), whose sum is σ = 52884832. Its totient is φ = 4610304.

The previous prime is 16140079. The next prime is 16140133. The reversal of 16140096 is 69004161.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2031 + ... + 6033.

Almost surely, 216140096 is an apocalyptic number.

16140096 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 16140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26442416).

16140096 is an abundant number, since it is smaller than the sum of its proper divisors (36744736).

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

16140096 is a wasteful number, since it uses less digits than its factorization.

16140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16140096 is about 4017.4738331444. The cubic root of 16140096 is about 252.7175317179.

The spelling of 16140096 in words is "sixteen million, one hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4003 4032 8006 12009 16012 24018 28021 32024 36027 48036 56042 64048 72054 84063 96072 112084 128096 144108 168126 192144 224168 252189 256192 288216 336252 384288 448336 504378 576432 672504 768576 896672 1008756 1152864 1345008 1793344 2017512 2305728 2690016 4035024 5380032 8070048 16140096