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14408016 = 2437137313
BaseRepresentation
bin110110111101…
…100101010000
31000010000002020
4312331211100
512142024031
61232451440
7233315610
oct66754520
930100066
1014408016
118150a57
1249a9b80
132ca606c
141cb0a40
1513e9096
hexdbd950

14408016 has 80 divisors (see below), whose sum is σ = 42985344. Its totient is φ = 4073472.

The previous prime is 14408011. The next prime is 14408033. The reversal of 14408016 is 61080441.

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 (14408011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45876 + ... + 46188.

Almost surely, 214408016 is an apocalyptic number.

14408016 is a gapful number since it is divisible by the number (16) 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 14408016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21492672).

14408016 is an abundant number, since it is smaller than the sum of its proper divisors (28577328).

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

14408016 is a wasteful number, since it uses less digits than its factorization.

14408016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14408016 is about 3795.7892459935. The cubic root of 14408016 is about 243.3332149037. Note that the first 3 decimals are identical.

Adding to 14408016 its reverse (61080441), we get a palindrome (75488457).

The spelling of 14408016 in words is "fourteen million, four hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 137 168 274 313 336 411 548 626 822 939 959 1096 1252 1644 1878 1918 2191 2192 2504 2877 3288 3756 3836 4382 5008 5754 6573 6576 7512 7672 8764 11508 13146 15024 15344 17528 23016 26292 35056 42881 46032 52584 85762 105168 128643 171524 257286 300167 343048 514572 600334 686096 900501 1029144 1200668 1801002 2058288 2401336 3602004 4802672 7204008 14408016