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13031220 = 2235474621
BaseRepresentation
bin110001101101…
…011100110100
3220112001110210
4301231130310
511313444340
61143145420
7215522616
oct61553464
926461423
1013031220
1173a0604
124445270
1329134a7
141a32db6
151226180
hexc6d734

13031220 has 48 divisors (see below), whose sum is σ = 37271808. Its totient is φ = 3400320.

The previous prime is 13031201. The next prime is 13031233. The reversal of 13031220 is 2213031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13031196 and 13031205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510 + ... + 5130.

It is an arithmetic number, because the mean of its divisors is an integer number (776496).

Almost surely, 213031220 is an apocalyptic number.

13031220 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 13031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18635904).

13031220 is an abundant number, since it is smaller than the sum of its proper divisors (24240588).

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

13031220 is a wasteful number, since it uses less digits than its factorization.

13031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13031220 is about 3609.8781142859. The cubic root of 13031220 is about 235.3215456507.

Adding to 13031220 its reverse (2213031), we get a palindrome (15244251).

The spelling of 13031220 in words is "thirteen million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 4621 9242 13863 18484 23105 27726 46210 55452 69315 92420 138630 217187 277260 434374 651561 868748 1085935 1303122 2171870 2606244 3257805 4343740 6515610 13031220