Search a number
-
+
14023300 = 22521773113
BaseRepresentation
bin110101011111…
…101010000100
3222101110100111
4311133222010
512042221200
61220322404
7230124154
oct65375204
928343314
1014023300
117a08a05
124843404
132b9cc15
141c10764
1513700ba
hexd5fa84

14023300 has 72 divisors (see below), whose sum is σ = 32951016. Its totient is φ = 5160960.

The previous prime is 14023279. The next prime is 14023319. The reversal of 14023300 is 332041.

14023300 = T270 + T271 + ... + T469.

It can be written as a sum of positive squares in 12 ways, for example, as 5531904 + 8491396 = 2352^2 + 2914^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124044 + ... + 124156.

It is an arithmetic number, because the mean of its divisors is an integer number (457653).

Almost surely, 214023300 is an apocalyptic number.

14023300 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 14023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475508).

14023300 is an abundant number, since it is smaller than the sum of its proper divisors (18927716).

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

14023300 is a wasteful number, since it uses less digits than its factorization.

14023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 14023300 is about 3744.7696858418. The cubic root of 14023300 is about 241.1478578226.

Adding to 14023300 its reverse (332041), we get a palindrome (14355341).

The spelling of 14023300 in words is "fourteen million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 113 146 170 226 292 340 365 425 452 565 730 850 1130 1241 1460 1700 1825 1921 2260 2482 2825 3650 3842 4964 5650 6205 7300 7684 8249 9605 11300 12410 16498 19210 24820 31025 32996 38420 41245 48025 62050 82490 96050 124100 140233 164980 192100 206225 280466 412450 560932 701165 824900 1402330 2804660 3505825 7011650 14023300