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130130304 = 2731093109
BaseRepresentation
bin1111100000110…
…10000110000000
3100001212022012220
413300122012000
5231303132204
620525051040
73140042433
oct760320600
9301768186
10130130304
1167500907
12376b6a80
1320c62ba5
14133d581a
15b6571d9
hex7c1a180

130130304 has 64 divisors (see below), whose sum is σ = 348942000. Its totient is φ = 42964992.

The previous prime is 130130243. The next prime is 130130309. The reversal of 130130304 is 403031031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1301303043 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130130309) 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, 40302 + ... + 43410.

Almost surely, 2130130304 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 130130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174471000).

130130304 is an abundant number, since it is smaller than the sum of its proper divisors (218811696).

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

130130304 is a wasteful number, since it uses less digits than its factorization.

130130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130130304 is about 11407.4670282232. The cubic root of 130130304 is about 506.7489001644.

Adding to 130130304 its reverse (403031031), we get a palindrome (533161335).

The spelling of 130130304 in words is "one hundred thirty million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 3109 3488 5232 6218 6976 9327 10464 12436 13952 18654 20928 24872 37308 41856 49744 74616 99488 149232 198976 298464 338881 397952 596928 677762 1016643 1193856 1355524 2033286 2711048 4066572 5422096 8133144 10844192 16266288 21688384 32532576 43376768 65065152 130130304