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14019300 = 22325237421
BaseRepresentation
bin110101011110…
…101011100100
3222101020212100
4311132223210
512042104200
61220252100
7230106411
oct65365344
928336770
1014019300
117a059a9
124841030
132b9b159
141c0d108
15136dd00
hexd5eae4

14019300 has 108 divisors (see below), whose sum is σ = 45237556. Its totient is φ = 3628800.

The previous prime is 14019287. The next prime is 14019307. The reversal of 14019300 is 391041.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 13003236 = 1008^2 + 3606^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14019307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33090 + ... + 33510.

Almost surely, 214019300 is an apocalyptic number.

14019300 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 14019300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618778).

14019300 is an abundant number, since it is smaller than the sum of its proper divisors (31218256).

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

14019300 is a wasteful number, since it uses less digits than its factorization.

14019300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 14019300 is about 3744.2355695122. The cubic root of 14019300 is about 241.1249273389.

It can be divided in two parts, 1401 and 9300, that added together give a palindrome (10701).

The spelling of 14019300 in words is "fourteen million, nineteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 421 444 450 555 666 740 842 900 925 1110 1263 1332 1665 1684 1850 2105 2220 2526 2775 3330 3700 3789 4210 5052 5550 6315 6660 7578 8325 8420 10525 11100 12630 15156 15577 16650 18945 21050 25260 31154 31575 33300 37890 42100 46731 62308 63150 75780 77885 93462 94725 126300 140193 155770 186924 189450 233655 280386 311540 378900 389425 467310 560772 700965 778850 934620 1168275 1401930 1557700 2336550 2803860 3504825 4673100 7009650 14019300