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14121900 = 223252131771
BaseRepresentation
bin110101110111…
…101110101100
3222120110121100
4311313232230
512103400100
61222403100
7231014502
oct65675654
928513540
1014121900
117a75aa1
124890490
132c05a70
141c38672
15138e400
hexd77bac

14121900 has 216 divisors, whose sum is σ = 51184224. Its totient is φ = 3225600.

The previous prime is 14121881. The next prime is 14121907. The reversal of 14121900 is 912141.

It is a super-2 number, since 2×141219002 = 398856119220000, which contains 22 as substring.

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 (14121907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198865 + ... + 198935.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 214121900 is an apocalyptic number.

14121900 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 14121900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112).

14121900 is an abundant number, since it is smaller than the sum of its proper divisors (37062324).

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

14121900 is a wasteful number, since it uses less digits than its factorization.

14121900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 14121900 is about 3757.9116540973. The cubic root of 14121900 is about 241.7117210226.

The spelling of 14121900 in words is "fourteen million, one hundred twenty-one thousand, nine hundred".