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130303264 = 25713291543
BaseRepresentation
bin1111100010001…
…00010100100000
3100002012002110211
413301010110200
5231324201024
620532503504
73141362620
oct761042440
9302162424
10130303264
1167609853
123777ab94
1320cc3830
141343c880
15b68d594
hex7c44520

130303264 has 96 divisors (see below), whose sum is σ = 326833920. Its totient is φ = 49738752.

The previous prime is 130303237. The next prime is 130303267. The reversal of 130303264 is 462303031.

It is not an unprimeable number, because it can be changed into a prime (130303267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83677 + ... + 85219.

It is an arithmetic number, because the mean of its divisors is an integer number (3404520).

Almost surely, 2130303264 is an apocalyptic number.

130303264 is a gapful number since it is divisible by the number (14) 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 130303264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163416960).

130303264 is an abundant number, since it is smaller than the sum of its proper divisors (196530656).

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

130303264 is a wasteful number, since it uses less digits than its factorization.

130303264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 130303264 is about 11415.0455102028. The cubic root of 130303264 is about 506.9733123733.

Adding to 130303264 its reverse (462303031), we get a palindrome (592606295).

The spelling of 130303264 in words is "one hundred thirty million, three hundred three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 91 104 112 116 182 203 208 224 232 364 377 406 416 464 728 754 812 928 1456 1508 1543 1624 2639 2912 3016 3086 3248 5278 6032 6172 6496 10556 10801 12064 12344 20059 21112 21602 24688 40118 42224 43204 44747 49376 80236 84448 86408 89494 140413 160472 172816 178988 280826 313229 320944 345632 357976 561652 581711 626458 641888 715952 1123304 1163422 1252916 1431904 2246608 2326844 2505832 4071977 4493216 4653688 5011664 8143954 9307376 10023328 16287908 18614752 32575816 65151632 130303264