Search a number
-
+
16324320 = 253571479
BaseRepresentation
bin111110010001…
…011011100000
31010201100202110
4332101123200
513134334240
61341515320
7255516525
oct76213340
933640673
1016324320
11923a781
125572b40
1334c737c
14224d14c
151676c80
hexf916e0

16324320 has 96 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 4282880.

The previous prime is 16324307. The next prime is 16324337. The reversal of 16324320 is 2342361.

It is a happy number.

16324320 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 (96).

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, 33841 + ... + 34319.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 216324320 is an apocalyptic number.

16324320 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 16324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

16324320 is an abundant number, since it is smaller than the sum of its proper divisors (35930400).

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

16324320 is a wasteful number, since it uses less digits than its factorization.

16324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 16324320 is about 4040.3366196395. The cubic root of 16324320 is about 253.6754073904.

Adding to 16324320 its reverse (2342361), we get a palindrome (18666681).

The spelling of 16324320 in words is "sixteen million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 426 479 480 568 710 852 958 1065 1136 1420 1437 1704 1916 2130 2272 2395 2840 2874 3408 3832 4260 4790 5680 5748 6816 7185 7664 8520 9580 11360 11496 14370 15328 17040 19160 22992 28740 34009 34080 38320 45984 57480 68018 76640 102027 114960 136036 170045 204054 229920 272072 340090 408108 510135 544144 680180 816216 1020270 1088288 1360360 1632432 2040540 2720720 3264864 4081080 5441440 8162160 16324320