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13087580 = 225111931101
BaseRepresentation
bin110001111011…
…001101011100
3220121220210012
4301323031130
511322300310
61144302352
7216146132
oct61731534
926556705
1013087580
117429990
1244719b8
13293303c
141a49752
151237c05
hexc7b35c

13087580 has 96 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4320000.

The previous prime is 13087559. The next prime is 13087583. The reversal of 13087580 is 8578031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13087583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129530 + ... + 129630.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 213087580 is an apocalyptic number.

13087580 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 13087580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

13087580 is an abundant number, since it is smaller than the sum of its proper divisors (19813540).

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

13087580 is a wasteful number, since it uses less digits than its factorization.

13087580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 13087580 is about 3617.6760496208. The cubic root of 13087580 is about 235.6603127988.

It can be divided in two parts, 1308 and 7580, that added together give a palindrome (8888).

The spelling of 13087580 in words is "thirteen million, eighty-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 31 38 44 55 62 76 95 101 110 124 155 190 202 209 220 310 341 380 404 418 505 589 620 682 836 1010 1045 1111 1178 1364 1705 1919 2020 2090 2222 2356 2945 3131 3410 3838 4180 4444 5555 5890 6262 6479 6820 7676 9595 11110 11780 12524 12958 15655 19190 21109 22220 25916 31310 32395 34441 38380 42218 59489 62620 64790 68882 84436 105545 118978 129580 137764 172205 211090 237956 297445 344410 422180 594890 654379 688820 1189780 1308758 2617516 3271895 6543790 13087580