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14402016 = 253379211
BaseRepresentation
bin110110111100…
…000111100000
31000002200212000
4312330013200
512141331031
61232404000
7233262246
oct66740740
930080760
1014402016
1181474a2
1249a6600
132ca3405
141cac796
1513e73e6
hexdbc1e0

14402016 has 96 divisors (see below), whose sum is σ = 42739200. Its totient is φ = 4717440.

The previous prime is 14401993. The next prime is 14402027. The reversal of 14402016 is 61020441.

14402016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 14402016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68151 + ... + 68361.

It is an arithmetic number, because the mean of its divisors is an integer number (445200).

Almost surely, 214402016 is an apocalyptic number.

14402016 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 14402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21369600).

14402016 is an abundant number, since it is smaller than the sum of its proper divisors (28337184).

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

14402016 is a wasteful number, since it uses less digits than its factorization.

14402016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14402016 is about 3794.9988142291. The cubic root of 14402016 is about 243.2994327369.

Adding to 14402016 its reverse (61020441), we get a palindrome (75422457).

The spelling of 14402016 in words is "fourteen million, four hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 211 216 237 288 316 422 432 474 632 633 711 844 864 948 1264 1266 1422 1688 1896 1899 2133 2528 2532 2844 3376 3792 3798 4266 5064 5688 5697 6752 7584 7596 8532 10128 11376 11394 15192 16669 17064 20256 22752 22788 30384 33338 34128 45576 50007 60768 66676 68256 91152 100014 133352 150021 182304 200028 266704 300042 400056 450063 533408 600084 800112 900126 1200168 1600224 1800252 2400336 3600504 4800672 7201008 14402016