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13420224 = 2632231013
BaseRepresentation
bin110011001100…
…011011000000
3221020211002100
4303030123000
511413421344
61155350400
7222033006
oct63143300
927224070
1013420224
1176368a4
1245b2400
132a1b57c
141ad4a76
1512a1569
hexccc6c0

13420224 has 84 divisors (see below), whose sum is σ = 40178736. Its totient is φ = 4274688.

The previous prime is 13420223. The next prime is 13420229. The reversal of 13420224 is 42202431.

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 = 13420197 and 13420206.

It is not an unprimeable number, because it can be changed into a prime (13420223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12742 + ... + 13754.

Almost surely, 213420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20089368).

13420224 is an abundant number, since it is smaller than the sum of its proper divisors (26758512).

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

13420224 is a wasteful number, since it uses less digits than its factorization.

13420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13420224 is about 3663.3623899363. The cubic root of 13420224 is about 237.6402067795.

Adding to 13420224 its reverse (42202431), we get a palindrome (55622655).

The spelling of 13420224 in words is "thirteen million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1013 1104 1472 1656 2026 2208 3039 3312 4052 4416 6078 6624 8104 9117 12156 13248 16208 18234 23299 24312 32416 36468 46598 48624 64832 69897 72936 93196 97248 139794 145872 186392 194496 209691 279588 291744 372784 419382 559176 583488 745568 838764 1118352 1491136 1677528 2236704 3355056 4473408 6710112 13420224