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14298768 = 2434111759
BaseRepresentation
bin110110100010…
…111010010000
3222220110020000
4312202322100
512130030033
61230250000
7232352241
oct66427220
928813200
1014298768
118086970
124956900
132c68413
141c82cc8
1513c6a13
hexda2e90

14298768 has 200 divisors, whose sum is σ = 48612960. Its totient is φ = 4008960.

The previous prime is 14298743. The next prime is 14298793. The reversal of 14298768 is 86789241.

It is an interprime number because it is at equal distance from previous prime (14298743) and next prime (14298793).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 242323 + ... + 242381.

Almost surely, 214298768 is an apocalyptic number.

14298768 is a gapful number since it is divisible by the number (18) 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 14298768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

14298768 is an abundant number, since it is smaller than the sum of its proper divisors (34314192).

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

14298768 is a wasteful number, since it uses less digits than its factorization.

14298768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 14298768 is about 3781.3711798764. The cubic root of 14298768 is about 242.7166335675.

The spelling of 14298768 in words is "fourteen million, two hundred ninety-eight thousand, seven hundred sixty-eight".