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14768568 = 233571107
BaseRepresentation
bin111000010101…
…100110111000
31000210022200000
4320111212320
512240043233
61244313000
7236350023
oct70254670
930708600
1014768568
118377931
124b42760
1330a11c9
141d661ba
15146ad13
hexe159b8

14768568 has 96 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 4808160.

The previous prime is 14768539. The next prime is 14768591. The reversal of 14768568 is 86586741.

It is a happy number.

14768568 is a `hidden beast` number, since 14 + 76 + 8 + 568 = 666.

14768568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×147685682 = 436221201541248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137971 + ... + 138077.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 214768568 is an apocalyptic number.

14768568 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 14768568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

14768568 is an abundant number, since it is smaller than the sum of its proper divisors (27688392).

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

14768568 is a wasteful number, since it uses less digits than its factorization.

14768568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 14768568 is about 3842.9894613439. The cubic root of 14768568 is about 245.3462714375.

The spelling of 14768568 in words is "fourteen million, seven hundred sixty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 107 108 142 162 213 214 216 243 284 321 324 426 428 486 568 639 642 648 852 856 963 972 1278 1284 1704 1917 1926 1944 2556 2568 2889 3834 3852 5112 5751 5778 7597 7668 7704 8667 11502 11556 15194 15336 17253 17334 22791 23004 23112 26001 30388 34506 34668 45582 46008 52002 60776 68373 69012 69336 91164 104004 136746 138024 182328 205119 208008 273492 410238 546984 615357 820476 1230714 1640952 1846071 2461428 3692142 4922856 7384284 14768568