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14317080 = 2335229521
BaseRepresentation
bin110110100111…
…011000011000
3222221101100020
4312213120120
512131121310
61230510440
7232456521
oct66473030
928841306
1014317080
1180996a8
124965420
132c7385b
141c89848
1513cc170
hexda7618

14317080 has 64 divisors (see below), whose sum is σ = 43221600. Its totient is φ = 3793920.

The previous prime is 14317073. The next prime is 14317081. The reversal of 14317080 is 8071341.

14317080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14317080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14317081) 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, 27220 + ... + 27740.

Almost surely, 214317080 is an apocalyptic number.

14317080 is a gapful number since it is divisible by the number (10) 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 14317080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21610800).

14317080 is an abundant number, since it is smaller than the sum of its proper divisors (28904520).

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

14317080 is a wasteful number, since it uses less digits than its factorization.

14317080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 14317080 is about 3783.7917490264. The cubic root of 14317080 is about 242.8202026530.

The spelling of 14317080 in words is "fourteen million, three hundred seventeen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 521 687 916 1042 1145 1374 1563 1832 2084 2290 2605 2748 3126 3435 4168 4580 5210 5496 6252 6870 7815 9160 10420 12504 13740 15630 20840 27480 31260 62520 119309 238618 357927 477236 596545 715854 954472 1193090 1431708 1789635 2386180 2863416 3579270 4772360 7158540 14317080