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16028320 = 2557111301
BaseRepresentation
bin111101001001…
…001010100000
31010011022201111
4331021022200
513100401240
61331313104
7253144540
oct75111240
933138644
1016028320
119058350
12544b794
133422719
1421b3320
1516191ea
hexf492a0

16028320 has 96 divisors (see below), whose sum is σ = 47246976. Its totient is φ = 4992000.

The previous prime is 16028317. The next prime is 16028323. The reversal of 16028320 is 2382061.

It is an interprime number because it is at equal distance from previous prime (16028317) and next prime (16028323).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 16028291 and 16028300.

It is not an unprimeable number, because it can be changed into a prime (16028323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11670 + ... + 12970.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 216028320 is an apocalyptic number.

16028320 is a gapful number since it is divisible by the number (10) 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 16028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488).

16028320 is an abundant number, since it is smaller than the sum of its proper divisors (31218656).

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

16028320 is a wasteful number, since it uses less digits than its factorization.

16028320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 16028320 is about 4003.5384349348. The cubic root of 16028320 is about 252.1327930333.

The spelling of 16028320 in words is "sixteen million, twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1301 1540 1760 2464 2602 3080 5204 6160 6505 9107 10408 12320 13010 14311 18214 20816 26020 28622 36428 41632 45535 52040 57244 71555 72856 91070 100177 104080 114488 143110 145712 182140 200354 208160 228976 286220 291424 364280 400708 457952 500885 572440 728560 801416 1001770 1144880 1457120 1602832 2003540 2289760 3205664 4007080 8014160 16028320