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13512420 = 2234519439
BaseRepresentation
bin110011100010…
…111011100100
3221102111120000
4303202323210
511424344140
61201341300
7222565545
oct63427344
927374500
1013512420
11769a099
124637830
132a5151c
141b1a4cc
1512bda30
hexce2ee4

13512420 has 120 divisors (see below), whose sum is σ = 44721600. Its totient is φ = 3405888.

The previous prime is 13512409. The next prime is 13512461. The reversal of 13512420 is 2421531.

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 = 13512393 and 13512402.

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 39 ways as a sum of consecutive naturals, for example, 30561 + ... + 30999.

It is an arithmetic number, because the mean of its divisors is an integer number (372680).

Almost surely, 213512420 is an apocalyptic number.

13512420 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 13512420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22360800).

13512420 is an abundant number, since it is smaller than the sum of its proper divisors (31209180).

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

13512420 is a wasteful number, since it uses less digits than its factorization.

13512420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13512420 is about 3675.9243735420. The cubic root of 13512420 is about 238.1831558621.

Adding to 13512420 its reverse (2421531), we get a palindrome (15933951).

The spelling of 13512420 in words is "thirteen million, five hundred twelve thousand, four 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 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 439 513 540 570 684 810 855 878 1026 1140 1317 1539 1620 1710 1756 2052 2195 2565 2634 3078 3420 3951 4390 5130 5268 6156 6585 7695 7902 8341 8780 10260 11853 13170 15390 15804 16682 19755 23706 25023 26340 30780 33364 35559 39510 41705 47412 50046 59265 71118 75069 79020 83410 100092 118530 125115 142236 150138 166820 177795 225207 237060 250230 300276 355590 375345 450414 500460 675621 711180 750690 900828 1126035 1351242 1501380 2252070 2702484 3378105 4504140 6756210 13512420