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130130320 = 24523197359
BaseRepresentation
bin1111100000110…
…10000110010000
3100001212022020111
413300122012100
5231303132240
620525051104
73140042455
oct760320620
9301768214
10130130320
1167500921
12376b6a94
1320c62bb8
14133d582c
15b6571ea
hex7c1a190

130130320 has 80 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 49398272.

The previous prime is 130130309. The next prime is 130130321. The reversal of 130130320 is 23031031.

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 130130320.

It is not an unprimeable number, because it can be changed into a prime (130130321) by changing a digit.

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, 362301 + ... + 362659.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2130130320 is an apocalyptic number.

130130320 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 130130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

130130320 is an abundant number, since it is smaller than the sum of its proper divisors (188063600).

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

130130320 is a wasteful number, since it uses less digits than its factorization.

130130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

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

The square root of 130130320 is about 11407.4677295182. The cubic root of 130130320 is about 506.7489209333.

Adding to 130130320 its reverse (23031031), we get a palindrome (153161351).

The spelling of 130130320 in words is "one hundred thirty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 197 230 359 368 394 460 718 788 920 985 1436 1576 1795 1840 1970 2872 3152 3590 3940 4531 5744 7180 7880 8257 9062 14360 15760 16514 18124 22655 28720 33028 36248 41285 45310 66056 70723 72496 82570 90620 132112 141446 165140 181240 282892 330280 353615 362480 565784 660560 707230 1131568 1414460 1626629 2828920 3253258 5657840 6506516 8133145 13013032 16266290 26026064 32532580 65065160 130130320