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13406220 = 22325711049
BaseRepresentation
bin110011001001…
…000000001100
3221020002212200
4303021000030
511412444340
61155201500
7221644122
oct63110014
927202780
1013406220
117627323
1245a6290
132a15099
141acd912
15129c330
hexcc900c

13406220 has 72 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 3521280.

The previous prime is 13406213. The next prime is 13406249. The reversal of 13406220 is 2260431.

It is a happy number.

13406220 is a `hidden beast` number, since 1 + 3 + 40 + 622 + 0 = 666.

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 = 13406193 and 13406202.

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, 12256 + ... + 13304.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 213406220 is an apocalyptic number.

13406220 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 13406220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

13406220 is an abundant number, since it is smaller than the sum of its proper divisors (27871380).

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

13406220 is a wasteful number, since it uses less digits than its factorization.

13406220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13406220 is about 3661.4505322345. The cubic root of 13406220 is about 237.5575188480.

Adding to 13406220 its reverse (2260431), we get a palindrome (15666651).

The spelling of 13406220 in words is "thirteen million, four hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1049 1065 1278 1420 2098 2130 2556 3147 3195 4196 4260 5245 6294 6390 9441 10490 12588 12780 15735 18882 20980 31470 37764 47205 62940 74479 94410 148958 188820 223437 297916 372395 446874 670311 744790 893748 1117185 1340622 1489580 2234370 2681244 3351555 4468740 6703110 13406220