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16084096 = 27729619
BaseRepresentation
bin111101010110…
…110010000000
31010021011020021
4331112302000
513104142341
61332423224
7253466260
oct75266200
933234207
1016084096
119096246
125477b14
133441c22
1421c97a0
15162a9d1
hexf56c80

16084096 has 64 divisors (see below), whose sum is σ = 37944000. Its totient is φ = 6644736.

The previous prime is 16084093. The next prime is 16084109. The reversal of 16084096 is 69048061.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (16084093) 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 7 ways as a sum of consecutive naturals, for example, 25675 + ... + 26293.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 216084096 is an apocalyptic number.

16084096 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 16084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000).

16084096 is an abundant number, since it is smaller than the sum of its proper divisors (21859904).

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

16084096 is an equidigital number, since it uses as much as digits as its factorization.

16084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 16084096 is about 4010.4982234131. The cubic root of 16084096 is about 252.4249150990.

The spelling of 16084096 in words is "sixteen million, eighty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 619 812 896 928 1238 1624 1856 2476 3248 3712 4333 4952 6496 8666 9904 12992 17332 17951 19808 25984 34664 35902 39616 69328 71804 79232 125657 138656 143608 251314 277312 287216 502628 554624 574432 1005256 1148864 2010512 2297728 4021024 8042048 16084096