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14485068 = 22341319181
BaseRepresentation
bin110111010000…
…011001001100
31000020220210000
4313100121030
512202010233
61234244300
7234056343
oct67203114
930226700
1014485068
1181a3934
124a26690
133002160
141cd0b5a
151411d13
hexdd064c

14485068 has 120 divisors (see below), whose sum is σ = 43163120. Its totient is φ = 4199040.

The previous prime is 14485067. The next prime is 14485099. The reversal of 14485068 is 86058441.

14485068 is a `hidden beast` number, since 144 + 8 + 506 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14485061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79938 + ... + 80118.

Almost surely, 214485068 is an apocalyptic number.

14485068 is a gapful number since it is divisible by the number (18) 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 14485068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21581560).

14485068 is an abundant number, since it is smaller than the sum of its proper divisors (28678052).

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

14485068 is a wasteful number, since it uses less digits than its factorization.

14485068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 14485068 is about 3805.9253802459. The cubic root of 14485068 is about 243.7662143060.

The spelling of 14485068 in words is "fourteen million, four hundred eighty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 181 228 234 247 324 342 351 362 468 494 513 543 684 702 724 741 988 1026 1053 1086 1404 1482 1539 1629 2052 2106 2172 2223 2353 2964 3078 3258 3439 4212 4446 4706 4887 6156 6516 6669 6878 7059 8892 9412 9774 10317 13338 13756 14118 14661 19548 20007 20634 21177 26676 28236 29322 30951 40014 41268 42354 44707 58644 61902 63531 80028 84708 89414 92853 123804 127062 134121 178828 185706 190593 254124 268242 278559 371412 381186 402363 536484 557118 762372 804726 1114236 1207089 1609452 2414178 3621267 4828356 7242534 14485068