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16090128 = 2432293853
BaseRepresentation
bin111101011000…
…010000010000
31010021110111200
4331120100100
513104341003
61332511200
7253522665
oct75302020
933243450
1016090128
11909a82a
12547b500
1334448b2
1421cba6c
15162c6a3
hexf58410

16090128 has 60 divisors (see below), whose sum is σ = 46594860. Its totient is φ = 5177088.

The previous prime is 16090097. The next prime is 16090141. The reversal of 16090128 is 82109061.

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 2782224 = 3648^2 + 1668^2 .

It is a super-3 number, since 3×160901283 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2250 + ... + 6102.

It is an arithmetic number, because the mean of its divisors is an integer number (776581).

Almost surely, 216090128 is an apocalyptic number.

16090128 is a gapful number since it is divisible by the number (18) 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 16090128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23297430).

16090128 is an abundant number, since it is smaller than the sum of its proper divisors (30504732).

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

16090128 is a wasteful number, since it uses less digits than its factorization.

16090128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 16090128 is about 4011.2501791835. The cubic root of 16090128 is about 252.4564666968.

Adding to 16090128 its reverse (82109061), we get a palindrome (98199189).

The spelling of 16090128 in words is "sixteen million, ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 3853 4176 7706 11559 15412 23118 30824 34677 46236 61648 69354 92472 111737 138708 184944 223474 277416 335211 446948 554832 670422 893896 1005633 1340844 1787792 2011266 2681688 4022532 5363376 8045064 16090128