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14068824 = 23371123331
BaseRepresentation
bin110101101010…
…110001011000
3222110202210120
4311222301120
512100200244
61221313240
7230403660
oct65526130
928422716
1014068824
117a3a130
124865820
132bb7863
141c231a0
15137d819
hexd6ac58

14068824 has 128 divisors (see below), whose sum is σ = 45895680. Its totient is φ = 3484800.

The previous prime is 14068787. The next prime is 14068829. The reversal of 14068824 is 42886041.

14068824 is digitally balanced in base 2, because in such base 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14068829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42339 + ... + 42669.

It is an arithmetic number, because the mean of its divisors is an integer number (358560).

Almost surely, 214068824 is an apocalyptic number.

14068824 is a gapful number since it is divisible by the number (14) 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 14068824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22947840).

14068824 is an abundant number, since it is smaller than the sum of its proper divisors (31826856).

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

14068824 is a wasteful number, since it uses less digits than its factorization.

14068824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 14068824 is about 3750.8431052231. The cubic root of 14068824 is about 241.4085229800.

The spelling of 14068824 in words is "fourteen million, sixty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 132 138 154 161 168 184 231 253 264 276 308 322 331 462 483 506 552 616 644 662 759 924 966 993 1012 1288 1324 1518 1771 1848 1932 1986 2024 2317 2648 3036 3542 3641 3864 3972 4634 5313 6072 6951 7084 7282 7613 7944 9268 10626 10923 13902 14168 14564 15226 18536 21252 21846 22839 25487 27804 29128 30452 42504 43692 45678 50974 53291 55608 60904 76461 83743 87384 91356 101948 106582 152922 159873 167486 182712 203896 213164 251229 305844 319746 334972 426328 502458 586201 611688 639492 669944 1004916 1172402 1278984 1758603 2009832 2344804 3517206 4689608 7034412 14068824