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14630016 = 273311229
BaseRepresentation
bin110111110011…
…110010000000
31000112021121110
4313303302000
512221130031
61241323320
7235232052
oct67636200
930467543
1014630016
118292825
124a96540
13305311b
141d2b8d2
15143ec46
hexdf3c80

14630016 has 64 divisors (see below), whose sum is σ = 40147200. Its totient is φ = 4715520.

The previous prime is 14630009. The next prime is 14630023. The reversal of 14630016 is 61003641.

14630016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14630009) and next prime (14630023).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14629974 and 14630001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11290 + ... + 12518.

It is an arithmetic number, because the mean of its divisors is an integer number (627300).

Almost surely, 214630016 is an apocalyptic number.

14630016 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 14630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073600).

14630016 is an abundant number, since it is smaller than the sum of its proper divisors (25517184).

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

14630016 is a wasteful number, since it uses less digits than its factorization.

14630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 14630016 is about 3824.9203913284. The cubic root of 14630016 is about 244.5766171033.

Adding to 14630016 its reverse (61003641), we get a palindrome (75633657).

The spelling of 14630016 in words is "fourteen million, six hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1229 1488 1984 2458 2976 3687 3968 4916 5952 7374 9832 11904 14748 19664 29496 38099 39328 58992 76198 78656 114297 117984 152396 157312 228594 235968 304792 457188 471936 609584 914376 1219168 1828752 2438336 3657504 4876672 7315008 14630016