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16384768 = 28292207
BaseRepresentation
bin111110100000…
…001100000000
31010211102200021
4332200030000
513143303033
61343103224
7256161001
oct76401400
933742607
1016384768
119281134
1255a1b14
133518a3a
1422671a8
151689b2d
hexfa0300

16384768 has 36 divisors (see below), whose sum is σ = 33848640. Its totient is φ = 7906304.

The previous prime is 16384759. The next prime is 16384769. The reversal of 16384768 is 86748361.

It is not an unprimeable number, because it can be changed into a prime (16384769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6321 + ... + 8527.

It is an arithmetic number, because the mean of its divisors is an integer number (940240).

Almost surely, 216384768 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 16384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924320).

16384768 is an abundant number, since it is smaller than the sum of its proper divisors (17463872).

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

16384768 is an equidigital number, since it uses as much as digits as its factorization.

16384768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2238 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 16384768 is about 4047.8102722336. The cubic root of 16384768 is about 253.9881367555.

The spelling of 16384768 in words is "sixteen million, three hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 2207 3712 4414 7424 8828 17656 35312 64003 70624 128006 141248 256012 282496 512024 564992 1024048 2048096 4096192 8192384 16384768