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14121300 = 22352103457
BaseRepresentation
bin110101110111…
…100101010100
3222120102210010
4311313211110
512103340200
61222400220
7231012654
oct65674524
928512703
1014121300
117a755a6
124890070
132c056cb
141c38364
15138e150
hexd77954

14121300 has 72 divisors (see below), whose sum is σ = 41344576. Its totient is φ = 3720960.

The previous prime is 14121299. The next prime is 14121301. The reversal of 14121300 is 312141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14121299) and next prime (14121301).

It is a super-2 number, since 2×141213002 = 398822227380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30672 + ... + 31128.

Almost surely, 214121300 is an apocalyptic number.

14121300 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 14121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20672288).

14121300 is an abundant number, since it is smaller than the sum of its proper divisors (27223276).

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

14121300 is a wasteful number, since it uses less digits than its factorization.

14121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14121300 is about 3757.8318216759. The cubic root of 14121300 is about 241.7082977559.

Adding to 14121300 its reverse (312141), we get a palindrome (14433441).

The spelling of 14121300 in words is "fourteen million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 457 515 618 914 1030 1236 1371 1545 1828 2060 2285 2575 2742 3090 4570 5150 5484 6180 6855 7725 9140 10300 11425 13710 15450 22850 27420 30900 34275 45700 47071 68550 94142 137100 141213 188284 235355 282426 470710 564852 706065 941420 1176775 1412130 2353550 2824260 3530325 4707100 7060650 14121300