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13148288 = 27139739
BaseRepresentation
bin110010001010…
…000010000000
3220202000001122
4302022002000
511331221123
61145451412
7216521126
oct62120200
926660048
1013148288
11747055a
1244a0b68
13295486a
141a63916
15124abc8
hexc8a080

13148288 has 32 divisors (see below), whose sum is σ = 26418000. Its totient is φ = 6518016.

The previous prime is 13148287. The next prime is 13148321. The reversal of 13148288 is 88284131.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13148287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17423 + ... + 18161.

Almost surely, 213148288 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 13148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13209000).

13148288 is an abundant number, since it is smaller than the sum of its proper divisors (13269712).

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

13148288 is an equidigital number, since it uses as much as digits as its factorization.

13148288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 880 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 13148288 is about 3626.0568114689. The cubic root of 13148288 is about 236.0241285299.

The spelling of 13148288 in words is "thirteen million, one hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 739 1112 1478 2224 2956 4448 5912 8896 11824 17792 23648 47296 94592 102721 205442 410884 821768 1643536 3287072 6574144 13148288