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13528560 = 243556369
BaseRepresentation
bin110011100110…
…110111110000
3221110022200210
4303212313300
511430403220
61201544120
7222663603
oct63466760
927408623
1013528560
117700231
124645040
132a58986
141b2233a
1512c36e0
hexce6df0

13528560 has 40 divisors (see below), whose sum is σ = 41939280. Its totient is φ = 3607552.

The previous prime is 13528547. The next prime is 13528561. The reversal of 13528560 is 6582531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13528561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27945 + ... + 28424.

It is an arithmetic number, because the mean of its divisors is an integer number (1048482).

Almost surely, 213528560 is an apocalyptic number.

13528560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13528560 is an abundant number, since it is smaller than the sum of its proper divisors (28410720).

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

13528560 is a wasteful number, since it uses less digits than its factorization.

13528560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56385 (or 56379 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 13528560 is about 3678.1190845322. The cubic root of 13528560 is about 238.2779512810.

The spelling of 13528560 in words is "thirteen million, five hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 56369 112738 169107 225476 281845 338214 450952 563690 676428 845535 901904 1127380 1352856 1691070 2254760 2705712 3382140 4509520 6764280 13528560