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130310320 = 2457474951
BaseRepresentation
bin1111100010001…
…10000010110000
3100002012110011011
413301012002300
5231324412240
620533000304
73141422320
oct761060260
9302173134
10130310320
1167614088
1237783094
1320cc6aca
1413441280
15b6906ea
hex7c460b0

130310320 has 80 divisors (see below), whose sum is σ = 353691648. Its totient is φ = 43718400.

The previous prime is 130310317. The next prime is 130310333. The reversal of 130310320 is 23013031.

130310320 = T271 + T272 + ... + T928.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 130310320.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 23845 + ... + 28795.

Almost surely, 2130310320 is an apocalyptic number.

130310320 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 130310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176845824).

130310320 is an abundant number, since it is smaller than the sum of its proper divisors (223381328).

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

130310320 is a wasteful number, since it uses less digits than its factorization.

130310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 130310320 is about 11415.3545718037. The cubic root of 130310320 is about 506.9824631779.

Adding to 130310320 its reverse (23013031), we get a palindrome (153323351).

The spelling of 130310320 in words is "one hundred thirty million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2632 3290 3760 4951 5264 6580 9902 13160 19804 24755 26320 34657 39608 49510 69314 79216 99020 138628 173285 198040 232697 277256 346570 396080 465394 554512 693140 930788 1163485 1386280 1628879 1861576 2326970 2772560 3257758 3723152 4653940 6515516 8144395 9307880 13031032 16288790 18615760 26062064 32577580 65155160 130310320