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14816016 = 2432313319
BaseRepresentation
bin111000100001…
…001100010000
31000212201202100
4320201030100
512243103031
61245320400
7236635245
oct70411420
930781670
1014816016
1183aa546
124b66100
1330b9997
141d795cc
151479de6
hexe21310

14816016 has 60 divisors (see below), whose sum is σ = 42814720. Its totient is φ = 4777920.

The previous prime is 14816003. The next prime is 14816023. The reversal of 14816016 is 61061841.

It is a super-2 number, since 2×148160162 = 439028660224512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2805 + ... + 6123.

Almost surely, 214816016 is an apocalyptic number.

14816016 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 14816016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21407360).

14816016 is an abundant number, since it is smaller than the sum of its proper divisors (27998704).

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

14816016 is a wasteful number, since it uses less digits than its factorization.

14816016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14816016 is about 3849.1578299675. The cubic root of 14816016 is about 245.6087375361.

Adding to 14816016 its reverse (61061841), we get a palindrome (75877857).

The spelling of 14816016 in words is "fourteen million, eight hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 3319 4464 6638 9957 13276 19914 26552 29871 39828 53104 59742 79656 102889 119484 159312 205778 238968 308667 411556 477936 617334 823112 926001 1234668 1646224 1852002 2469336 3704004 4938672 7408008 14816016