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13421320 = 2351124759
BaseRepresentation
bin110011001100…
…101100001000
3221020212120221
4303030230020
511413440240
61155355424
7222036133
oct63145410
927225527
1013421320
117637700
1245b2b74
132a1bc13
141ad521a
1512a1a4a
hexcccb08

13421320 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 4695680.

The previous prime is 13421299. The next prime is 13421323. The reversal of 13421320 is 2312431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13421294 and 13421303.

It is not an unprimeable number, because it can be changed into a prime (13421323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227451 + ... + 227509.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 213421320 is an apocalyptic number.

13421320 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 13421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

13421320 is an abundant number, since it is smaller than the sum of its proper divisors (21052280).

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

13421320 is a wasteful number, since it uses less digits than its factorization.

13421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13421320 is about 3663.5119762326. The cubic root of 13421320 is about 237.6466757866.

Adding to 13421320 its reverse (2312431), we get a palindrome (15733751).

Subtracting from 13421320 its reverse (2312431), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1342 and 1320, that added together give a palindrome (2662).

The spelling of 13421320 in words is "thirteen million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 59 88 94 110 118 121 188 220 235 236 242 295 376 440 470 472 484 517 590 605 649 940 968 1034 1180 1210 1298 1880 2068 2360 2420 2585 2596 2773 3245 4136 4840 5170 5192 5546 5687 6490 7139 10340 11092 11374 12980 13865 14278 20680 22184 22748 25960 27730 28435 28556 30503 35695 45496 55460 56870 57112 61006 71390 110920 113740 122012 142780 152515 227480 244024 285560 305030 335533 610060 671066 1220120 1342132 1677665 2684264 3355330 6710660 13421320