Search a number
-
+
14398720 = 28571607
BaseRepresentation
bin110110111011…
…010100000000
31000002112022221
4312323110000
512141224340
61232340424
7233246530
oct66732400
930075287
1014398720
118144a76
1249a4714
132ca1a6b
141cab4c0
1513e644a
hexdbb500

14398720 has 72 divisors (see below), whose sum is σ = 39441024. Its totient is φ = 4933632.

The previous prime is 14398717. The next prime is 14398723. The reversal of 14398720 is 2789341.

It is an interprime number because it is at equal distance from previous prime (14398717) and next prime (14398723).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14398723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8157 + ... + 9763.

It is an arithmetic number, because the mean of its divisors is an integer number (547792).

Almost surely, 214398720 is an apocalyptic number.

14398720 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 14398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19720512).

14398720 is an abundant number, since it is smaller than the sum of its proper divisors (25042304).

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

14398720 is an equidigital number, since it uses as much as digits as its factorization.

14398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 14398720 is about 3794.5645336455. The cubic root of 14398720 is about 243.2808710736.

The spelling of 14398720 in words is "fourteen million, three hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1607 1792 2240 3214 4480 6428 8035 8960 11249 12856 16070 22498 25712 32140 44996 51424 56245 64280 89992 102848 112490 128560 179984 205696 224980 257120 359968 411392 449960 514240 719936 899920 1028480 1439872 1799840 2056960 2879744 3599680 7199360 14398720