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13450320 = 2433513479
BaseRepresentation
bin110011010011…
…110001010000
3221022100101000
4303103301100
511420402240
61200142000
7222216522
oct63236120
927270330
1013450320
117657474
124607900
132a2c190
141b01a12
1512aa430
hexcd3c50

13450320 has 160 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 3303936.

The previous prime is 13450313. The next prime is 13450321. The reversal of 13450320 is 2305431.

13450320 is a `hidden beast` number, since 1 + 345 + 0 + 320 = 666.

It is a super-2 number, since 2×134503202 = 361822216204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13450293 and 13450302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13450321) 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 31 ways as a sum of consecutive naturals, for example, 27841 + ... + 28319.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 213450320 is an apocalyptic number.

13450320 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 13450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

13450320 is an abundant number, since it is smaller than the sum of its proper divisors (36546480).

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

13450320 is a wasteful number, since it uses less digits than its factorization.

13450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13450320 is about 3667.4677912696. The cubic root of 13450320 is about 237.8177169804.

Adding to 13450320 its reverse (2305431), we get a palindrome (15755751).

The spelling of 13450320 in words is "thirteen million, four hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 479 520 540 585 624 702 720 780 936 958 1040 1080 1170 1404 1437 1560 1755 1872 1916 2160 2340 2395 2808 2874 3120 3510 3832 4311 4680 4790 5616 5748 6227 7020 7185 7664 8622 9360 9580 11496 12454 12933 14040 14370 17244 18681 19160 21555 22992 24908 25866 28080 28740 31135 34488 37362 38320 43110 49816 51732 56043 57480 62270 64665 68976 74724 86220 93405 99632 103464 112086 114960 124540 129330 149448 168129 172440 186810 206928 224172 249080 258660 280215 298896 336258 344880 373620 448344 498160 517320 560430 672516 747240 840645 896688 1034640 1120860 1345032 1494480 1681290 2241720 2690064 3362580 4483440 6725160 13450320