Search a number
-
+
14260320 = 253353301
BaseRepresentation
bin110110011001…
…100001100000
3222211111111000
4312121201200
512122312240
61225352000
7232132164
oct66314140
928744430
1014260320
11805aa98
124938600
132c53a79
141c72ca4
1513ba430
hexd99860

14260320 has 96 divisors (see below), whose sum is σ = 49926240. Its totient is φ = 3801600.

The previous prime is 14260319. The next prime is 14260321. The reversal of 14260320 is 2306241.

It is a happy number.

14260320 is a `hidden beast` number, since 1 + 42 + 603 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (14260319) and next prime (14260321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3 and base 16.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 14260293 and 14260302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14260321) 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, 2670 + ... + 5970.

It is an arithmetic number, because the mean of its divisors is an integer number (520065).

Almost surely, 214260320 is an apocalyptic number.

14260320 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 14260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963120).

14260320 is an abundant number, since it is smaller than the sum of its proper divisors (35665920).

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

14260320 is a wasteful number, since it uses less digits than its factorization.

14260320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14260320 is about 3776.2838876334. The cubic root of 14260320 is about 242.4988911275.

Adding to 14260320 its reverse (2306241), we get a palindrome (16566561).

The spelling of 14260320 in words is "fourteen million, two hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 3301 4320 6602 9903 13204 16505 19806 26408 29709 33010 39612 49515 52816 59418 66020 79224 89127 99030 105632 118836 132040 148545 158448 178254 198060 237672 264080 297090 316896 356508 396120 445635 475344 528160 594180 713016 792240 891270 950688 1188360 1426032 1584480 1782540 2376720 2852064 3565080 4753440 7130160 14260320