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14022320 = 2451397139
BaseRepresentation
bin110101011111…
…011010110000
3222101102000012
4311133122300
512042203240
61220314052
7230121254
oct65373260
928342005
1014022320
117a081a4
124842928
132b9c640
141c10264
15136eb65
hexd5f6b0

14022320 has 80 divisors (see below), whose sum is σ = 35726880. Its totient is φ = 5087232.

The previous prime is 14022319. The next prime is 14022329. The reversal of 14022320 is 2322041.

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

It is a junction number, because it is equal to n+sod(n) for n = 14022295 and 14022304.

It is not an unprimeable number, because it can be changed into a prime (14022329) 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, 100811 + ... + 100949.

It is an arithmetic number, because the mean of its divisors is an integer number (446586).

Almost surely, 214022320 is an apocalyptic number.

14022320 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 14022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863440).

14022320 is an abundant number, since it is smaller than the sum of its proper divisors (21704560).

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

14022320 is a wasteful number, since it uses less digits than its factorization.

14022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 14022320 is about 3744.6388343871. The cubic root of 14022320 is about 241.1422402574.

Adding to 14022320 its reverse (2322041), we get a palindrome (16344361).

The spelling of 14022320 in words is "fourteen million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 97 104 130 139 194 208 260 278 388 485 520 556 695 776 970 1040 1112 1261 1390 1552 1807 1940 2224 2522 2780 3614 3880 5044 5560 6305 7228 7760 9035 10088 11120 12610 13483 14456 18070 20176 25220 26966 28912 36140 50440 53932 67415 72280 100880 107864 134830 144560 175279 215728 269660 350558 539320 701116 876395 1078640 1402232 1752790 2804464 3505580 7011160 14022320