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14311616 = 261129701
BaseRepresentation
bin110110100110…
…000011000000
3222221002211212
4312212003000
512130432431
61230425252
7232434554
oct66460300
928832755
1014311616
118095590
124962228
132c71217
141c87864
1513ca72b
hexda60c0

14311616 has 56 divisors (see below), whose sum is σ = 32095440. Its totient is φ = 6272000.

The previous prime is 14311601. The next prime is 14311621. The reversal of 14311616 is 61611341.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14311591 and 14311600.

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, 20066 + ... + 20766.

Almost surely, 214311616 is an apocalyptic number.

14311616 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 14311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047720).

14311616 is an abundant number, since it is smaller than the sum of its proper divisors (17783824).

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

14311616 is a wasteful number, since it uses less digits than its factorization.

14311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 14311616 is about 3783.0696530728. The cubic root of 14311616 is about 242.7893085878.

Adding to 14311616 its reverse (61611341), we get a palindrome (75922957).

The spelling of 14311616 in words is "fourteen million, three hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 701 704 928 1276 1402 1856 2552 2804 5104 5608 7711 10208 11216 15422 20329 20416 22432 30844 40658 44864 61688 81316 123376 162632 223619 246752 325264 447238 493504 650528 894476 1301056 1788952 3577904 7155808 14311616