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13201860 = 2235717432
BaseRepresentation
bin110010010111…
…000111000100
3220211201112210
4302113013010
511334424420
61150543420
7220133250
oct62270704
926751483
1013201860
1174a7831
124507b70
132973069
141a79260
15125b9e0
hexc971c4

13201860 has 144 divisors (see below), whose sum is σ = 45795456. Its totient is φ = 2774016.

The previous prime is 13201849. The next prime is 13201861. The reversal of 13201860 is 6810231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201861) 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 47 ways as a sum of consecutive naturals, for example, 306999 + ... + 307041.

It is an arithmetic number, because the mean of its divisors is an integer number (318024).

Almost surely, 213201860 is an apocalyptic number.

13201860 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 13201860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22897728).

13201860 is an abundant number, since it is smaller than the sum of its proper divisors (32593596).

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

13201860 is a wasteful number, since it uses less digits than its factorization.

13201860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13201860 is about 3633.4363899757. The cubic root of 13201860 is about 236.3442500686.

The spelling of 13201860 in words is "thirteen million, two hundred one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 43 51 60 68 70 84 85 86 102 105 119 129 140 170 172 204 210 215 238 255 258 301 340 357 420 430 476 510 516 595 602 645 714 731 860 903 1020 1190 1204 1290 1428 1462 1505 1785 1806 1849 2193 2380 2580 2924 3010 3570 3612 3655 3698 4386 4515 5117 5547 6020 7140 7310 7396 8772 9030 9245 10234 10965 11094 12943 14620 15351 18060 18490 20468 21930 22188 25585 25886 27735 30702 31433 36980 38829 43860 51170 51772 55470 61404 62866 64715 76755 77658 94299 102340 110940 125732 129430 153510 155316 157165 188598 194145 220031 258860 307020 314330 377196 388290 440062 471495 628660 660093 776580 880124 942990 1100155 1320186 1885980 2200310 2640372 3300465 4400620 6600930 13201860