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14808320 = 28523503
BaseRepresentation
bin111000011111…
…010100000000
31000212100012022
4320133110000
512242331240
61245221012
7236603642
oct70372400
930770168
1014808320
1183a478a
124b61768
1330b6327
141d76892
1514779b5
hexe1f500

14808320 has 72 divisors (see below), whose sum is σ = 37086336. Its totient is φ = 5654528.

The previous prime is 14808307. The next prime is 14808329. The reversal of 14808320 is 2380841.

It is a self number, because there is not a number n which added to its sum of digits gives 14808320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14808329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29189 + ... + 29691.

It is an arithmetic number, because the mean of its divisors is an integer number (515088).

Almost surely, 214808320 is an apocalyptic number.

14808320 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 14808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543168).

14808320 is an abundant number, since it is smaller than the sum of its proper divisors (22278016).

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

14808320 is an equidigital number, since it uses as much as digits as its factorization.

14808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 14808320 is about 3848.1580009142. The cubic root of 14808320 is about 245.5662040097.

The spelling of 14808320 in words is "fourteen million, eight hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 503 640 736 920 1006 1280 1472 1840 2012 2515 2944 3680 4024 5030 5888 7360 8048 10060 11569 14720 16096 20120 23138 29440 32192 40240 46276 57845 64384 80480 92552 115690 128768 160960 185104 231380 321920 370208 462760 643840 740416 925520 1480832 1851040 2961664 3702080 7404160 14808320