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14678700 = 22352113433
BaseRepresentation
bin110111111111…
…101010101100
31000121202101120
4313333222230
512224204300
61242340540
7235524021
oct67775254
930552346
1014678700
118316363
124aba750
13306c32a
141d41548
15144e3a0
hexdffaac

14678700 has 72 divisors (see below), whose sum is σ = 42945168. Its totient is φ = 3870720.

The previous prime is 14678689. The next prime is 14678707. The reversal of 14678700 is 787641.

It is not an unprimeable number, because it can be changed into a prime (14678707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33684 + ... + 34116.

Almost surely, 214678700 is an apocalyptic number.

14678700 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 14678700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21472584).

14678700 is an abundant number, since it is smaller than the sum of its proper divisors (28266468).

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

14678700 is a wasteful number, since it uses less digits than its factorization.

14678700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 14678700 is about 3831.2791597585. The cubic root of 14678700 is about 244.8476075763.

The spelling of 14678700 in words is "fourteen million, six hundred seventy-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 433 452 565 678 866 1130 1299 1356 1695 1732 2165 2260 2598 2825 3390 4330 5196 5650 6495 6780 8475 8660 10825 11300 12990 16950 21650 25980 32475 33900 43300 48929 64950 97858 129900 146787 195716 244645 293574 489290 587148 733935 978580 1223225 1467870 2446450 2935740 3669675 4892900 7339350 14678700