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14315300 = 2252375373
BaseRepresentation
bin110110100110…
…111100100100
3222221021220022
4312212330210
512131042200
61230454312
7232451366
oct66467444
928837808
1014315300
11809832a
124964398
132c72abc
141c88d36
1513cb885
hexda6f24

14315300 has 72 divisors (see below), whose sum is σ = 32951016. Its totient is φ = 5391360.

The previous prime is 14315291. The next prime is 14315311. The reversal of 14315300 is 351341.

It can be written as a sum of positive squares in 12 ways, for example, as 357604 + 13957696 = 598^2 + 3736^2 .

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, 196064 + ... + 196136.

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

Almost surely, 214315300 is an apocalyptic number.

14315300 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 14315300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475508).

14315300 is an abundant number, since it is smaller than the sum of its proper divisors (18635716).

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

14315300 is a wasteful number, since it uses less digits than its factorization.

14315300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 14315300 is about 3783.5565279245. The cubic root of 14315300 is about 242.8101391979.

Adding to 14315300 its reverse (351341), we get a palindrome (14666641).

The spelling of 14315300 in words is "fourteen million, three hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 53 73 74 100 106 146 148 185 212 265 292 365 370 530 730 740 925 1060 1325 1460 1825 1850 1961 2650 2701 3650 3700 3869 3922 5300 5402 7300 7738 7844 9805 10804 13505 15476 19345 19610 27010 38690 39220 49025 54020 67525 77380 96725 98050 135050 143153 193450 196100 270100 286306 386900 572612 715765 1431530 2863060 3578825 7157650 14315300