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14509620 = 22325149541
BaseRepresentation
bin110111010110…
…011000110100
31000022011110100
4313112120310
512203301440
61234554100
7234221046
oct67263064
930264410
1014509620
118210324
124a38930
133010398
141cd9a96
151419230
hexdd6634

14509620 has 72 divisors (see below), whose sum is σ = 44389800. Its totient is φ = 3836160.

The previous prime is 14509567. The next prime is 14509637. The reversal of 14509620 is 2690541.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 14470416 = 198^2 + 3804^2 .

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 23 ways as a sum of consecutive naturals, for example, 26550 + ... + 27090.

It is an arithmetic number, because the mean of its divisors is an integer number (616525).

Almost surely, 214509620 is an apocalyptic number.

14509620 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 14509620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22194900).

14509620 is an abundant number, since it is smaller than the sum of its proper divisors (29880180).

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

14509620 is a wasteful number, since it uses less digits than its factorization.

14509620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 14509620 is about 3809.1495113739. The cubic root of 14509620 is about 243.9038634079.

It can be divided in two parts, 14509 and 620, that added together give a square (15129 = 1232).

The spelling of 14509620 in words is "fourteen million, five hundred nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 541 596 745 894 1082 1341 1490 1623 1788 2164 2235 2682 2705 2980 3246 4470 4869 5364 5410 6492 6705 8115 8940 9738 10820 13410 16230 19476 24345 26820 32460 48690 80609 97380 161218 241827 322436 403045 483654 725481 806090 967308 1209135 1450962 1612180 2418270 2901924 3627405 4836540 7254810 14509620