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13426224 = 2437311289
BaseRepresentation
bin110011001101…
…111000110000
3221021010022120
4303031320300
511414114344
61155434240
7222056340
oct63157060
927233276
1013426224
117640359
1245b5980
132a21216
141ad6d20
1512a3219
hexccde30

13426224 has 80 divisors (see below), whose sum is σ = 40949760. Its totient is φ = 3709440.

The previous prime is 13426223. The next prime is 13426247. The reversal of 13426224 is 42262431.

13426224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13426194 and 13426203.

It is not an unprimeable number, because it can be changed into a prime (13426223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9772 + ... + 11060.

It is an arithmetic number, because the mean of its divisors is an integer number (511872).

Almost surely, 213426224 is an apocalyptic number.

13426224 is a gapful number since it is divisible by the number (14) 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 13426224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20474880).

13426224 is an abundant number, since it is smaller than the sum of its proper divisors (27523536).

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

13426224 is a wasteful number, since it uses less digits than its factorization.

13426224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 13426224 is about 3664.1812182260. The cubic root of 13426224 is about 237.6756167399.

Adding to 13426224 its reverse (42262431), we get a palindrome (55688655).

The spelling of 13426224 in words is "thirteen million, four hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1289 1302 1488 1736 2578 2604 3472 3867 5156 5208 7734 9023 10312 10416 15468 18046 20624 27069 30936 36092 39959 54138 61872 72184 79918 108276 119877 144368 159836 216552 239754 279713 319672 433104 479508 559426 639344 839139 959016 1118852 1678278 1918032 2237704 3356556 4475408 6713112 13426224