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14079744 = 2834797
BaseRepresentation
bin110101101101…
…011100000000
3222111022210000
4311231130000
512101022434
61221440000
7230450550
oct65553400
928438700
1014079744
117a47358
124870000
132bbc813
141c27160
151381b99
hexd6d700

14079744 has 180 divisors, whose sum is σ = 48475504. Its totient is φ = 3981312.

The previous prime is 14079739. The next prime is 14079763. The reversal of 14079744 is 44797041.

It is a super-2 number, since 2×140797442 = 396478382211072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14079699 and 14079708.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 145104 + ... + 145200.

Almost surely, 214079744 is an apocalyptic number.

14079744 is a gapful number since it is divisible by the number (14) 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 14079744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24237752).

14079744 is an abundant number, since it is smaller than the sum of its proper divisors (34395760).

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

14079744 is an frugal number, since it uses more digits than its factorization.

14079744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 14079744 is about 3752.2984955891. The cubic root of 14079744 is about 241.4709659938.

The spelling of 14079744 in words is "fourteen million, seventy-nine thousand, seven hundred forty-four".