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14680064 = 2217
BaseRepresentation
bin111000000000…
…000000000000
31000121211021002
4320000000000
512224230224
61242351132
7235531010
oct70000000
930554232
1014680064
118317393
124abb4a8
13306cb39
141d41c40
15144e9ae
hexe00000

14680064 has 44 divisors (see below), whose sum is σ = 33554424. Its totient is φ = 6291456.

The previous prime is 14680063. The next prime is 14680067. The reversal of 14680064 is 46008641.

It is an ABA number since it can be written as A⋅BA, here for A=7, B=8.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14680063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2097149 + ... + 2097155.

Almost surely, 214680064 is an apocalyptic number.

14680064 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 14680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777212).

14680064 is an abundant number, since it is smaller than the sum of its proper divisors (18874360).

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

14680064 is an frugal number, since it uses more digits than its factorization.

14680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 14680064 is about 3831.4571640565. The cubic root of 14680064 is about 244.8551913949.

The spelling of 14680064 in words is "fourteen million, six hundred eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 14336 16384 28672 32768 57344 65536 114688 131072 229376 262144 458752 524288 917504 1048576 1835008 2097152 3670016 7340032 14680064