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16121728 = 27719947
BaseRepresentation
bin111101011111…
…111110000000
31010100001212001
4331133332000
513111343403
61333313344
7254014060
oct75377600
933301761
1016121728
119111547
125495854
1334560ac
1421d93a0
151636c1d
hexf5ff80

16121728 has 64 divisors (see below), whose sum is σ = 38678400. Its totient is φ = 6538752.

The previous prime is 16121719. The next prime is 16121753. The reversal of 16121728 is 82712161.

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

It is a super-2 number, since 2×161217282 = 519820227411968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 16121696 and 16121705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16551 + ... + 17497.

It is an arithmetic number, because the mean of its divisors is an integer number (604350).

Almost surely, 216121728 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 16121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339200).

16121728 is an abundant number, since it is smaller than the sum of its proper divisors (22556672).

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

16121728 is an equidigital number, since it uses as much as digits as its factorization.

16121728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 975 counting only the distinct ones).

The product of its digits is 1344, while the sum is 28.

The square root of 16121728 is about 4015.1871687382. The cubic root of 16121728 is about 252.6216281656.

Adding to 16121728 its reverse (82712161), we get a palindrome (98833889).

The spelling of 16121728 in words is "sixteen million, one hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 947 1064 1216 1894 2128 2432 3788 4256 6629 7576 8512 13258 15152 17024 17993 26516 30304 35986 53032 60608 71972 106064 121216 125951 143944 212128 251902 287888 424256 503804 575776 848512 1007608 1151552 2015216 2303104 4030432 8060864 16121728