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13545216 = 28325879
BaseRepresentation
bin110011101010…
…111100000000
3221111011112200
4303222330000
511431421331
61202153200
7223063266
oct63527400
927434480
1013545216
1177117a3
124652800
132a63429
141b28436
1512c85e6
hexceaf00

13545216 has 54 divisors (see below), whose sum is σ = 39060840. Its totient is φ = 4514304.

The previous prime is 13545199. The next prime is 13545227. The reversal of 13545216 is 61254531.

13545216 is a `hidden beast` number, since 135 + 4 + 521 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13545216.

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 5 ways as a sum of consecutive naturals, for example, 636 + ... + 5243.

Almost surely, 213545216 is an apocalyptic number.

13545216 is a gapful number since it is divisible by the number (16) 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 13545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19530420).

13545216 is an abundant number, since it is smaller than the sum of its proper divisors (25515624).

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

13545216 is an equidigital number, since it uses as much as digits as its factorization.

13545216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5884 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 13545216 is about 3680.3825888079. The cubic root of 13545216 is about 238.3756983171.

Adding to 13545216 its reverse (61254531), we get a palindrome (74799747).

The spelling of 13545216 in words is "thirteen million, five hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5879 11758 17637 23516 35274 47032 52911 70548 94064 105822 141096 188128 211644 282192 376256 423288 564384 752512 846576 1128768 1505024 1693152 2257536 3386304 4515072 6772608 13545216