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13712220 = 2233567379
BaseRepresentation
bin110100010011…
…101101011100
3221210122122000
4310103231130
512002242340
61205522300
7224360214
oct64235534
927718560
1013712220
117816215
124713390
132ac1452
141b6d244
15130cd30
hexd13b5c

13712220 has 96 divisors (see below), whose sum is σ = 43411200. Its totient is φ = 3592512.

The previous prime is 13712219. The next prime is 13712239. The reversal of 13712220 is 2221731.

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 = 13712193 and 13712202.

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, 35991 + ... + 36369.

It is an arithmetic number, because the mean of its divisors is an integer number (452200).

Almost surely, 213712220 is an apocalyptic number.

13712220 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 13712220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21705600).

13712220 is an abundant number, since it is smaller than the sum of its proper divisors (29698980).

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

13712220 is a wasteful number, since it uses less digits than its factorization.

13712220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13712220 is about 3703.0014852819. The cubic root of 13712220 is about 239.3513735950.

Adding to 13712220 its reverse (2221731), we get a palindrome (15933951).

The spelling of 13712220 in words is "thirteen million, seven hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 379 402 540 603 670 758 804 1005 1137 1206 1340 1516 1809 1895 2010 2274 2412 3015 3411 3618 3790 4020 4548 5685 6030 6822 7236 7580 9045 10233 11370 12060 13644 17055 18090 20466 22740 25393 34110 36180 40932 50786 51165 68220 76179 101572 102330 126965 152358 204660 228537 253930 304716 380895 457074 507860 685611 761790 914148 1142685 1371222 1523580 2285370 2742444 3428055 4570740 6856110 13712220