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14124300 = 2235223289
BaseRepresentation
bin110101111000…
…010100001100
3222120120220020
4311320110030
512103434200
61222422140
7231024501
oct65702414
928516806
1014124300
117a77883
124891950
132c06b98
141c394a8
15138eea0
hexd7850c

14124300 has 108 divisors (see below), whose sum is σ = 43200360. Its totient is φ = 3562240.

The previous prime is 14124281. The next prime is 14124307. The reversal of 14124300 is 342141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14124300.

It is not an unprimeable number, because it can be changed into a prime (14124307) 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 35 ways as a sum of consecutive naturals, for example, 158656 + ... + 158744.

Almost surely, 214124300 is an apocalyptic number.

14124300 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 14124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600180).

14124300 is an abundant number, since it is smaller than the sum of its proper divisors (29076060).

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

14124300 is a wasteful number, since it uses less digits than its factorization.

14124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14124300 is about 3758.2309668247. The cubic root of 14124300 is about 241.7254131195.

Adding to 14124300 its reverse (342141), we get a palindrome (14466441).

The spelling of 14124300 in words is "fourteen million, one hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 89 92 100 115 138 150 178 230 267 276 300 345 356 445 460 529 534 575 690 890 1058 1068 1150 1335 1380 1587 1725 1780 2047 2116 2225 2300 2645 2670 3174 3450 4094 4450 5290 5340 6141 6348 6675 6900 7935 8188 8900 10235 10580 12282 13225 13350 15870 20470 24564 26450 26700 30705 31740 39675 40940 47081 51175 52900 61410 79350 94162 102350 122820 141243 153525 158700 188324 204700 235405 282486 307050 470810 564972 614100 706215 941620 1177025 1412430 2354050 2824860 3531075 4708100 7062150 14124300