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13037220 = 2233573449
BaseRepresentation
bin110001101110…
…111010100100
3220112100201000
4301232322210
511314142340
61143233300
7215546250
oct61567244
926470630
1013037220
1173a5069
124448830
132916141
141a35260
151227d30
hexc6eea4

13037220 has 96 divisors (see below), whose sum is σ = 46368000. Its totient is φ = 2979072.

The previous prime is 13037207. The next prime is 13037231. The reversal of 13037220 is 2273031.

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 = 13037193 and 13037202.

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 31 ways as a sum of consecutive naturals, for example, 2056 + ... + 5504.

It is an arithmetic number, because the mean of its divisors is an integer number (483000).

Almost surely, 213037220 is an apocalyptic number.

13037220 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 13037220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23184000).

13037220 is an abundant number, since it is smaller than the sum of its proper divisors (33330780).

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

13037220 is a wasteful number, since it uses less digits than its factorization.

13037220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3466 counting only the distinct ones).

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

The square root of 13037220 is about 3610.7090716368. The cubic root of 13037220 is about 235.3576566884.

The spelling of 13037220 in words is "thirteen million, thirty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3449 3780 6898 10347 13796 17245 20694 24143 31041 34490 41388 48286 51735 62082 68980 72429 93123 96572 103470 120715 124164 144858 155205 186246 206940 217287 241430 289716 310410 362145 372492 434574 465615 482860 620820 651861 724290 869148 931230 1086435 1303722 1448580 1862460 2172870 2607444 3259305 4345740 6518610 13037220