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14064128 = 29132113
BaseRepresentation
bin110101101001…
…101000000000
3222110112100122
4311221220000
512100023003
61221235412
7230354201
oct65515000
928415318
1014064128
117a36651
124862b68
132bb5690
141c215a8
15137c238
hexd69a00

14064128 has 40 divisors (see below), whose sum is σ = 30276708. Its totient is φ = 6488064.

The previous prime is 14064091. The next prime is 14064137. The reversal of 14064128 is 82146041.

It can be written as a sum of positive squares in 2 ways, for example, as 9935104 + 4129024 = 3152^2 + 2032^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 14064097 and 14064106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5600 + ... + 7712.

Almost surely, 214064128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15138354).

14064128 is an abundant number, since it is smaller than the sum of its proper divisors (16212580).

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

14064128 is an equidigital number, since it uses as much as digits as its factorization.

14064128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 14064128 is about 3750.2170603846. The cubic root of 14064128 is about 241.3816602614.

The spelling of 14064128 in words is "fourteen million, sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 2113 3328 4226 6656 8452 16904 27469 33808 54938 67616 109876 135232 219752 270464 439504 540928 879008 1081856 1758016 3516032 7032064 14064128