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14180320 = 2557111151
BaseRepresentation
bin110110000101…
…111111100000
3222200102202001
4312011333200
512112232240
61223533344
7231350020
oct66057740
928612661
1014180320
118005980
1248ba254
132c2652b
141c51a80
1513a189a
hexd85fe0

14180320 has 96 divisors (see below), whose sum is σ = 41803776. Its totient is φ = 4416000.

The previous prime is 14180311. The next prime is 14180359. The reversal of 14180320 is 2308141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11745 + ... + 12895.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 214180320 is an apocalyptic number.

14180320 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 14180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888).

14180320 is an abundant number, since it is smaller than the sum of its proper divisors (27623456).

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

14180320 is a wasteful number, since it uses less digits than its factorization.

14180320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 14180320 is about 3765.6765660370. The cubic root of 14180320 is about 242.0445698025.

Adding to 14180320 its reverse (2308141), we get a palindrome (16488461).

The spelling of 14180320 in words is "fourteen million, one hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1151 1232 1540 1760 2302 2464 3080 4604 5755 6160 8057 9208 11510 12320 12661 16114 18416 23020 25322 32228 36832 40285 46040 50644 63305 64456 80570 88627 92080 101288 126610 128912 161140 177254 184160 202576 253220 257824 322280 354508 405152 443135 506440 644560 709016 886270 1012880 1289120 1418032 1772540 2025760 2836064 3545080 7090160 14180320