Search a number
-
+
13545088 = 27294189
BaseRepresentation
bin110011101010…
…111010000000
3221111011100221
4303222322000
511431420323
61202152424
7223063024
oct63527200
927434327
1013545088
117711697
124652714
132a6335b
141b28384
1512c855d
hexceae80

13545088 has 64 divisors (see below), whose sum is σ = 28917000. Its totient is φ = 6307840.

The previous prime is 13545079. The next prime is 13545089. The reversal of 13545088 is 88054531.

It can be written as a sum of positive squares in 4 ways, for example, as 6190144 + 7354944 = 2488^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13545089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 152148 + ... + 152236.

Almost surely, 213545088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13545088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458500).

13545088 is an abundant number, since it is smaller than the sum of its proper divisors (15371912).

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

13545088 is an equidigital number, since it uses as much as digits as its factorization.

13545088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 13545088 is about 3680.3651992703. The cubic root of 13545088 is about 238.3749474447.

The spelling of 13545088 in words is "thirteen million, five hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 89 116 128 164 178 232 328 356 464 656 712 928 1189 1312 1424 1856 2378 2581 2624 2848 3649 3712 4756 5162 5248 5696 7298 9512 10324 11392 14596 19024 20648 29192 38048 41296 58384 76096 82592 105821 116768 152192 165184 211642 233536 330368 423284 467072 846568 1693136 3386272 6772544 13545088