Search a number
-
+
130322320 = 2451011272
BaseRepresentation
bin1111100010010…
…00111110010000
3100002020001121121
413301020332100
5231330303240
620533132024
73141502312
oct761107620
9302201547
10130322320
11676220a7
123778a014
1320ccc3cb
14134457b2
15b69404a
hex7c48f90

130322320 has 60 divisors (see below), whose sum is σ = 308427804. Its totient is φ = 51206400.

The previous prime is 130322299. The next prime is 130322321. The reversal of 130322320 is 23223031.

It can be written as a sum of positive squares in 2 ways, for example, as 93161104 + 37161216 = 9652^2 + 6096^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130322294 and 130322303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130322321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1026097 + ... + 1026223.

Almost surely, 2130322320 is an apocalyptic number.

130322320 is a gapful number since it is divisible by the number (10) 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 130322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154213902).

130322320 is an abundant number, since it is smaller than the sum of its proper divisors (178105484).

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

130322320 is a wasteful number, since it uses less digits than its factorization.

130322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 130322320 is about 11415.8801675561. The cubic root of 130322320 is about 506.9980250122.

Adding to 130322320 its reverse (23223031), we get a palindrome (153545351).

The spelling of 130322320 in words is "one hundred thirty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 127 202 254 404 505 508 635 808 1010 1016 1270 1616 2020 2032 2540 4040 5080 8080 10160 12827 16129 25654 32258 51308 64135 64516 80645 102616 128270 129032 161290 205232 256540 258064 322580 513080 645160 1026160 1290320 1629029 3258058 6516116 8145145 13032232 16290290 26064464 32580580 65161160 130322320