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14128400 = 24521113219
BaseRepresentation
bin110101111001…
…010100010000
3222120210112002
4311321110100
512104102100
61222453132
7231042446
oct65712420
928523462
1014128400
117a7a970
1248941a8
132c08a00
141c3ab96
1513912d5
hexd79510

14128400 has 180 divisors, whose sum is σ = 42207120. Its totient is φ = 4492800.

The previous prime is 14128379. The next prime is 14128409. The reversal of 14128400 is 482141.

It is a super-2 number, since 2×141284002 = 399223373120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14128409) 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, 743591 + ... + 743609.

It is an arithmetic number, because the mean of its divisors is an integer number (234484).

Almost surely, 214128400 is an apocalyptic number.

14128400 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 14128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21103560).

14128400 is an abundant number, since it is smaller than the sum of its proper divisors (28078720).

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

14128400 is a wasteful number, since it uses less digits than its factorization.

14128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 14128400 is about 3758.7763966482. The cubic root of 14128400 is about 241.7488001974.

The spelling of 14128400 in words is "fourteen million, one hundred twenty-eight thousand, four hundred".