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14705064 = 2334112063
BaseRepresentation
bin111000000110…
…000110101000
31000200002120000
4320012012220
512231030224
61243103000
7235663623
oct70060650
930602500
1014705064
118334150
124b11a60
13307b32a
141d4adba
1514570c9
hexe061a8

14705064 has 80 divisors (see below), whose sum is σ = 44953920. Its totient is φ = 4453920.

The previous prime is 14705063. The next prime is 14705077. The reversal of 14705064 is 46050741.

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

It is not an unprimeable number, because it can be changed into a prime (14705063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6097 + ... + 8159.

It is an arithmetic number, because the mean of its divisors is an integer number (561924).

Almost surely, 214705064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14705064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22476960).

14705064 is an abundant number, since it is smaller than the sum of its proper divisors (30248856).

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

14705064 is a wasteful number, since it uses less digits than its factorization.

14705064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 14705064 is about 3834.7182425831. The cubic root of 14705064 is about 244.9941078688.

It can be divided in two parts, 14 and 705064, that added together give a triangular number (705078 = T1187).

The spelling of 14705064 in words is "fourteen million, seven hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2063 2376 3564 4126 6189 7128 8252 12378 16504 18567 22693 24756 37134 45386 49512 55701 68079 74268 90772 111402 136158 148536 167103 181544 204237 222804 272316 334206 408474 445608 544632 612711 668412 816948 1225422 1336824 1633896 1838133 2450844 3676266 4901688 7352532 14705064