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13001560 = 23511132273
BaseRepresentation
bin110001100110…
…001101011000
3220110112210021
4301212031120
511312022220
61142400224
7215340265
oct61461530
926415707
1013001560
1173802a0
124430074
132902b40
141a2626c
15121c4aa
hexc66358

13001560 has 64 divisors (see below), whose sum is σ = 34382880. Its totient is φ = 4362240.

The previous prime is 13001557. The next prime is 13001603. The reversal of 13001560 is 6510031.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4584 + ... + 6856.

Almost surely, 213001560 is an apocalyptic number.

13001560 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 13001560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191440).

13001560 is an abundant number, since it is smaller than the sum of its proper divisors (21381320).

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

13001560 is a wasteful number, since it uses less digits than its factorization.

13001560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 13001560 is about 3605.7676020509. The cubic root of 13001560 is about 235.1428737346.

Adding to 13001560 its reverse (6510031), we get a palindrome (19511591).

The spelling of 13001560 in words is "thirteen million, one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2273 2860 4546 5720 9092 11365 18184 22730 25003 29549 45460 50006 59098 90920 100012 118196 125015 147745 200024 236392 250030 295490 325039 500060 590980 650078 1000120 1181960 1300156 1625195 2600312 3250390 6500780 13001560