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13528140 = 2235239803
BaseRepresentation
bin110011100110…
…110001001100
3221110022010020
4303212301030
511430400030
61201542140
7222662433
oct63466114
927408106
1013528140
1176aa98a
124644950
132a58722
141b2211a
1512c3510
hexce6c4c

13528140 has 48 divisors (see below), whose sum is σ = 39529728. Its totient is φ = 3450304.

The previous prime is 13528129. The next prime is 13528159. The reversal of 13528140 is 4182531.

13528140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13528140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3522 + ... + 6281.

It is an arithmetic number, because the mean of its divisors is an integer number (823536).

Almost surely, 213528140 is an apocalyptic number.

13528140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13528140 is an abundant number, since it is smaller than the sum of its proper divisors (26001588).

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

13528140 is a wasteful number, since it uses less digits than its factorization.

13528140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9838 (or 9836 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13528140 is about 3678.0619896897. The cubic root of 13528140 is about 238.2754854415.

The spelling of 13528140 in words is "thirteen million, five hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 9803 19606 29409 39212 49015 58818 98030 117636 147045 196060 225469 294090 450938 588180 676407 901876 1127345 1352814 2254690 2705628 3382035 4509380 6764070 13528140