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14065320 = 23351931199
BaseRepresentation
bin110101101001…
…111010101000
3222110120222210
4311221322220
512100042240
61221245120
7230360523
oct65517250
928416883
1014065320
117a37535
1248637a0
132bb6099
141c21bba
15137c780
hexd69ea8

14065320 has 128 divisors (see below), whose sum is σ = 46080000. Its totient is φ = 3421440.

The previous prime is 14065309. The next prime is 14065321. The reversal of 14065320 is 2356041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14065321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70581 + ... + 70779.

It is an arithmetic number, because the mean of its divisors is an integer number (360000).

Almost surely, 214065320 is an apocalyptic number.

14065320 is a gapful number since it is divisible by the number (10) 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 14065320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040000).

14065320 is an abundant number, since it is smaller than the sum of its proper divisors (32014680).

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

14065320 is a wasteful number, since it uses less digits than its factorization.

14065320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 14065320 is about 3750.3759811518. The cubic root of 14065320 is about 241.3884794734.

The spelling of 14065320 in words is "fourteen million, sixty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 199 228 248 285 310 372 380 398 456 465 570 589 597 620 744 760 796 930 995 1140 1178 1194 1240 1592 1767 1860 1990 2280 2356 2388 2945 2985 3534 3720 3781 3980 4712 4776 5890 5970 6169 7068 7562 7960 8835 11343 11780 11940 12338 14136 15124 17670 18507 18905 22686 23560 23880 24676 30248 30845 35340 37014 37810 45372 49352 56715 61690 70680 74028 75620 90744 92535 113430 117211 123380 148056 151240 185070 226860 234422 246760 351633 370140 453720 468844 586055 703266 740280 937688 1172110 1406532 1758165 2344220 2813064 3516330 4688440 7032660 14065320