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14429016 = 233473181
BaseRepresentation
bin110111000010…
…101101011000
31000011001220000
4313002231120
512143212031
61233133000
7233434050
oct67025530
930131800
1014429016
118165808
1249ba160
132cb27a4
141cb8560
1514003e6
hexdc2b58

14429016 has 80 divisors (see below), whose sum is σ = 46202640. Its totient is φ = 4121280.

The previous prime is 14429003. The next prime is 14429021. The reversal of 14429016 is 61092441.

14429016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2946 + ... + 6126.

It is an arithmetic number, because the mean of its divisors is an integer number (577533).

Almost surely, 214429016 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 14429016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23101320).

14429016 is an abundant number, since it is smaller than the sum of its proper divisors (31773624).

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

14429016 is a wasteful number, since it uses less digits than its factorization.

14429016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14429016 is about 3798.5544618973. The cubic root of 14429016 is about 243.4513786832.

The spelling of 14429016 in words is "fourteen million, four hundred twenty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 3181 4536 6362 9543 12724 19086 22267 25448 28629 38172 44534 57258 66801 76344 85887 89068 114516 133602 171774 178136 200403 229032 257661 267204 343548 400806 515322 534408 601209 687096 801612 1030644 1202418 1603224 1803627 2061288 2404836 3607254 4809672 7214508 14429016