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14805072 = 243343797
BaseRepresentation
bin111000011110…
…100001010000
31000212011202000
4320132201100
512242230242
61245154000
7236561322
oct70364120
930764660
1014805072
1183a22a7
124b5b900
1330b49c9
141d75612
151476a4c
hexe1e850

14805072 has 80 divisors (see below), whose sum is σ = 43538880. Its totient is φ = 4814208.

The previous prime is 14805071. The next prime is 14805101. The reversal of 14805072 is 27050841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14805071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18178 + ... + 18974.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 214805072 is an apocalyptic number.

14805072 is a gapful number since it is divisible by the number (12) 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 14805072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21769440).

14805072 is an abundant number, since it is smaller than the sum of its proper divisors (28733808).

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

14805072 is a wasteful number, since it uses less digits than its factorization.

14805072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 14805072 is about 3847.7359576769. The cubic root of 14805072 is about 245.5482488478.

The spelling of 14805072 in words is "fourteen million, eight hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 797 1032 1161 1548 1594 2064 2322 2391 3096 3188 4644 4782 6192 6376 7173 9288 9564 12752 14346 18576 19128 21519 28692 34271 38256 43038 57384 68542 86076 102813 114768 137084 172152 205626 274168 308439 344304 411252 548336 616878 822504 925317 1233756 1645008 1850634 2467512 3701268 4935024 7402536 14805072