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13590048 = 253532671
BaseRepresentation
bin110011110101…
…111000100000
3221120110001010
4303311320200
511434340143
61203140520
7223341063
oct63657040
927513033
1013590048
11774244a
124674740
132a7a964
141b3a8da
1512d6a33
hexcf5e20

13590048 has 48 divisors (see below), whose sum is σ = 36360576. Its totient is φ = 4442880.

The previous prime is 13590047. The next prime is 13590053. The reversal of 13590048 is 84009531.

13590048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13589997 and 13590024.

It is not an unprimeable number, because it can be changed into a prime (13590041) 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, 3753 + ... + 6423.

It is an arithmetic number, because the mean of its divisors is an integer number (757512).

Almost surely, 213590048 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 13590048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180288).

13590048 is an abundant number, since it is smaller than the sum of its proper divisors (22770528).

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

13590048 is a wasteful number, since it uses less digits than its factorization.

13590048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13590048 is about 3686.4682285353. The cubic root of 13590048 is about 238.6384009193.

Adding to 13590048 its reverse (84009531), we get a palindrome (97599579).

The spelling of 13590048 in words is "thirteen million, five hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 2671 5088 5342 8013 10684 16026 21368 32052 42736 64104 85472 128208 141563 256416 283126 424689 566252 849378 1132504 1698756 2265008 3397512 4530016 6795024 13590048