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130848 = 2532947
BaseRepresentation
bin11111111100100000
320122111020
4133330200
513141343
62445440
71053324
oct377440
9218436
10130848
118a343
1263880
1347733
1435984
1528b83
hex1ff20

130848 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 41216.

The previous prime is 130843. The next prime is 130859. The reversal of 130848 is 848031.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 130848.

It is not an unprimeable number, because it can be changed into a prime (130841) 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, 2761 + ... + 2807.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2130848 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 130848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

130848 is an abundant number, since it is smaller than the sum of its proper divisors (232032).

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

130848 is a wasteful number, since it uses less digits than its factorization.

130848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 130848 is about 361.7291804652. The cubic root of 130848 is about 50.7678801647.

Adding to 130848 its reverse (848031), we get a palindrome (978879).

The spelling of 130848 in words is "one hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 87 94 96 116 141 174 188 232 282 348 376 464 564 696 752 928 1128 1363 1392 1504 2256 2726 2784 4089 4512 5452 8178 10904 16356 21808 32712 43616 65424 130848