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13522820 = 22517311283
BaseRepresentation
bin110011100101…
…011110000100
3221110000211012
4303211132010
511430212240
61201501352
7222641063
oct63453604
927400735
1013522820
1176a6993
124641858
132a5618c
141b201da
1512c1b65
hexce5784

13522820 has 48 divisors (see below), whose sum is σ = 31062528. Its totient is φ = 4922880.

The previous prime is 13522819. The next prime is 13522853. The reversal of 13522820 is 2822531.

13522820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9899 + ... + 11181.

It is an arithmetic number, because the mean of its divisors is an integer number (647136).

Almost surely, 213522820 is an apocalyptic number.

13522820 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 13522820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15531264).

13522820 is an abundant number, since it is smaller than the sum of its proper divisors (17539708).

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

13522820 is a wasteful number, since it uses less digits than its factorization.

13522820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 13522820 is about 3677.3387116228. The cubic root of 13522820 is about 238.2442470553.

The spelling of 13522820 in words is "thirteen million, five hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 1283 2108 2566 2635 5132 5270 6415 10540 12830 21811 25660 39773 43622 79546 87244 109055 159092 198865 218110 397730 436220 676141 795460 1352282 2704564 3380705 6761410 13522820