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13324320 = 2532519487
BaseRepresentation
bin110010110101…
…000000100000
3221001221112100
4302311000200
511402334240
61153330400
7221153262
oct62650040
927057470
1013324320
117580839
124566a00
1329b6a19
141aabb32
151282e30
hexcb5020

13324320 has 144 divisors (see below), whose sum is σ = 47960640. Its totient is φ = 3359232.

The previous prime is 13324319. The next prime is 13324361. The reversal of 13324320 is 2342331.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 13324293 and 13324302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27117 + ... + 27603.

It is an arithmetic number, because the mean of its divisors is an integer number (333060).

Almost surely, 213324320 is an apocalyptic number.

13324320 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 13324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23980320).

13324320 is an abundant number, since it is smaller than the sum of its proper divisors (34636320).

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

13324320 is a wasteful number, since it uses less digits than its factorization.

13324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13324320 is about 3650.2493065543. The cubic root of 13324320 is about 237.0727758131.

Adding to 13324320 its reverse (2342331), we get a palindrome (15666651).

The spelling of 13324320 in words is "thirteen million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 487 570 608 684 720 760 855 912 974 1140 1368 1440 1461 1520 1710 1824 1948 2280 2435 2736 2922 3040 3420 3896 4383 4560 4870 5472 5844 6840 7305 7792 8766 9120 9253 9740 11688 13680 14610 15584 17532 18506 19480 21915 23376 27360 27759 29220 35064 37012 38960 43830 46265 46752 55518 58440 70128 74024 77920 83277 87660 92530 111036 116880 138795 140256 148048 166554 175320 185060 222072 233760 277590 296096 333108 350640 370120 416385 444144 555180 666216 701280 740240 832770 888288 1110360 1332432 1480480 1665540 2220720 2664864 3331080 4441440 6662160 13324320