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14082570 = 2325374229
BaseRepresentation
bin110101101110…
…001000001010
3222111110122200
4311232020022
512101120240
61221501030
7230462025
oct65561012
928443580
1014082570
117a49497
124871776
132bc0ba8
141c281bc
151382930
hexd6e20a

14082570 has 48 divisors (see below), whose sum is σ = 37613160. Its totient is φ = 3652992.

The previous prime is 14082547. The next prime is 14082571. The reversal of 14082570 is 7528041.

14082570 is a `hidden beast` number, since 1 + 408 + 257 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13860729 + 221841 = 3723^2 + 471^2 .

It is not an unprimeable number, because it can be changed into a prime (14082571) 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 23 ways as a sum of consecutive naturals, for example, 1216 + ... + 5444.

Almost surely, 214082570 is an apocalyptic number.

14082570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14082570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18806580).

14082570 is an abundant number, since it is smaller than the sum of its proper divisors (23530590).

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

14082570 is a wasteful number, since it uses less digits than its factorization.

14082570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4276 counting only the distinct ones).

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

The square root of 14082570 is about 3752.6750458839. The cubic root of 14082570 is about 241.4871204376.

The spelling of 14082570 in words is "fourteen million, eighty-two thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 4229 8458 12687 21145 25374 38061 42290 63435 76122 126870 156473 190305 312946 380610 469419 782365 938838 1408257 1564730 2347095 2816514 4694190 7041285 14082570