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14297400 = 23325213247
BaseRepresentation
bin110110100010…
…100100111000
3222220101100100
4312202210320
512130004100
61230235400
7232345245
oct66424470
928811310
1014297400
118085937
124955b60
132c67900
141c825cc
1513c6400
hexda2938

14297400 has 216 divisors, whose sum is σ = 53099280. Its totient is φ = 3444480.

The previous prime is 14297369. The next prime is 14297407. The reversal of 14297400 is 479241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14297407) 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 53 ways as a sum of consecutive naturals, for example, 304177 + ... + 304223.

It is an arithmetic number, because the mean of its divisors is an integer number (245830).

Almost surely, 214297400 is an apocalyptic number.

14297400 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 14297400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26549640).

14297400 is an abundant number, since it is smaller than the sum of its proper divisors (38801880).

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

14297400 is a wasteful number, since it uses less digits than its factorization.

14297400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14297400 is about 3781.1902887847. The cubic root of 14297400 is about 242.7088928786.

The spelling of 14297400 in words is "fourteen million, two hundred ninety-seven thousand, four hundred".