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130896 = 2434101
BaseRepresentation
bin11111111101010000
320122120000
4133331100
513142041
62450000
71053423
oct377520
9218500
10130896
118a387
1263900
134776c
14359ba
1528bb6
hex1ff50

130896 has 50 divisors (see below), whose sum is σ = 382602. Its totient is φ = 43200.

The previous prime is 130873. The next prime is 130927. The reversal of 130896 is 698031.

Subtracting from 130896 its product of nonzero digits (1296), we obtain a square (129600 = 3602).

130896 divided by its product of nonzero digits (1296) gives a palindrome (101).

It can be written as a sum of positive squares in only one way, i.e., 129600 + 1296 = 360^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

130896 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 9 ways as a sum of consecutive naturals, for example, 1246 + ... + 1346.

2130896 is an apocalyptic number.

130896 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 130896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191301).

130896 is an abundant number, since it is smaller than the sum of its proper divisors (251706).

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

130896 is a wasteful number, since it uses less digits than its factorization.

130896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130896 is about 361.7955223604. The cubic root of 130896 is about 50.7740872659.

The spelling of 130896 in words is "one hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 303 324 404 432 606 648 808 909 1212 1296 1616 1818 2424 2727 3636 4848 5454 7272 8181 10908 14544 16362 21816 32724 43632 65448 130896