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13307220 = 22335191297
BaseRepresentation
bin110010110000…
…110101010100
3221001002002000
4302300311110
511401312340
61153115300
7221052363
oct62606524
927032060
1013307220
117569a03
124558b30
1329abcc4
141aa57da
15127cd30
hexcb0d54

13307220 has 96 divisors (see below), whose sum is σ = 43612800. Its totient is φ = 3359232.

The previous prime is 13307207. The next prime is 13307227. The reversal of 13307220 is 2270331.

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 = 13307193 and 13307202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13307227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9612 + ... + 10908.

It is an arithmetic number, because the mean of its divisors is an integer number (454300).

Almost surely, 213307220 is an apocalyptic number.

13307220 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 13307220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21806400).

13307220 is an abundant number, since it is smaller than the sum of its proper divisors (30305580).

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

13307220 is a wasteful number, since it uses less digits than its factorization.

13307220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13307220 is about 3647.9062487953. The cubic root of 13307220 is about 236.9713152273.

Adding to 13307220 its reverse (2270331), we get a palindrome (15577551).

The spelling of 13307220 in words is "thirteen million, three hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1297 1710 2052 2565 2594 3420 3891 5130 5188 6485 7782 10260 11673 12970 15564 19455 23346 24643 25940 35019 38910 46692 49286 58365 70038 73929 77820 98572 116730 123215 140076 147858 175095 221787 233460 246430 295716 350190 369645 443574 492860 665361 700380 739290 887148 1108935 1330722 1478580 2217870 2661444 3326805 4435740 6653610 13307220