Search a number
-
+
16030320 = 2435173929
BaseRepresentation
bin111101001001…
…101001110000
31010011102110120
4331021221300
513100432240
61331330240
7253153425
oct75115160
933142416
1016030320
1190598a9
125450980
1334235c7
1421b3d4c
151619ad0
hexf49a70

16030320 has 80 divisors (see below), whose sum is σ = 52630560. Its totient is φ = 4022272.

The previous prime is 16030307. The next prime is 16030349. The reversal of 16030320 is 2303061.

16030320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 16030320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2116 + ... + 6044.

It is an arithmetic number, because the mean of its divisors is an integer number (657882).

Almost surely, 216030320 is an apocalyptic number.

16030320 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 16030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26315280).

16030320 is an abundant number, since it is smaller than the sum of its proper divisors (36600240).

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

16030320 is a wasteful number, since it uses less digits than its factorization.

16030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 16030320 is about 4003.7882061867. The cubic root of 16030320 is about 252.1432795683.

Adding to 16030320 its reverse (2303061), we get a palindrome (18333381).

The spelling of 16030320 in words is "sixteen million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 3929 4080 7858 11787 15716 19645 23574 31432 39290 47148 58935 62864 66793 78580 94296 117870 133586 157160 188592 200379 235740 267172 314320 333965 400758 471480 534344 667930 801516 942960 1001895 1068688 1335860 1603032 2003790 2671720 3206064 4007580 5343440 8015160 16030320