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14414064 = 243742899
BaseRepresentation
bin110110111111…
…000011110000
31000010022101020
4312333003300
512142222224
61232535440
7233342340
oct66770360
930108336
1014414064
118155555
1249b1580
132ca8a42
141cb2d20
1513eac79
hexdbf0f0

14414064 has 40 divisors (see below), whose sum is σ = 42556800. Its totient is φ = 4118208.

The previous prime is 14414063. The next prime is 14414089. The reversal of 14414064 is 46041441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21114 + ... + 21785.

It is an arithmetic number, because the mean of its divisors is an integer number (1063920).

Almost surely, 214414064 is an apocalyptic number.

14414064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14414064 is an abundant number, since it is smaller than the sum of its proper divisors (28142736).

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

14414064 is a wasteful number, since it uses less digits than its factorization.

14414064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42917 (or 42911 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14414064 is about 3796.5858346678. The cubic root of 14414064 is about 243.3672578377.

The spelling of 14414064 in words is "fourteen million, four hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 42899 85798 128697 171596 257394 300293 343192 514788 600586 686384 900879 1029576 1201172 1801758 2059152 2402344 3603516 4804688 7207032 14414064