Search a number
-
+
16027920 = 24325113197
BaseRepresentation
bin111101001001…
…000100010000
31010011022011200
4331021010100
513100343140
61331311200
7253143426
oct75110420
933138150
1016027920
119058017
12544b500
13342249c
1421b3116
151619030
hexf49110

16027920 has 120 divisors (see below), whose sum is σ = 54579096. Its totient is φ = 4214784.

The previous prime is 16027909. The next prime is 16027927. The reversal of 16027920 is 2972061.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 14470416 = 1248^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (16027927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81262 + ... + 81458.

Almost surely, 216027920 is an apocalyptic number.

16027920 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 16027920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27289548).

16027920 is an abundant number, since it is smaller than the sum of its proper divisors (38551176).

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

16027920 is a wasteful number, since it uses less digits than its factorization.

16027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 16027920 is about 4003.4884788144. The cubic root of 16027920 is about 252.1306956216.

Adding to 16027920 its reverse (2972061), we get a palindrome (18999981).

The spelling of 16027920 in words is "sixteen million, twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 197 226 240 339 360 394 452 565 591 678 720 788 904 985 1017 1130 1182 1356 1576 1695 1773 1808 1970 2034 2260 2364 2712 2955 3152 3390 3546 3940 4068 4520 4728 5085 5424 5910 6780 7092 7880 8136 8865 9040 9456 10170 11820 13560 14184 15760 16272 17730 20340 22261 23640 27120 28368 35460 40680 44522 47280 66783 70920 81360 89044 111305 133566 141840 178088 200349 222610 267132 333915 356176 400698 445220 534264 667830 801396 890440 1001745 1068528 1335660 1602792 1780880 2003490 2671320 3205584 4006980 5342640 8013960 16027920