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130303446 = 237213103331
BaseRepresentation
bin1111100010001…
…00010111010110
3100002012002201120
413301010113112
5231324202241
620532504410
73141363300
oct761042726
9302162646
10130303446
11676099a9
123777b106
1320cc3940
141343c970
15b68d666
hex7c445d6

130303446 has 96 divisors (see below), whose sum is σ = 330640128. Its totient is φ = 33929280.

The previous prime is 130303421. The next prime is 130303451. The reversal of 130303446 is 644303031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393501 + ... + 393831.

It is an arithmetic number, because the mean of its divisors is an integer number (3444168).

Almost surely, 2130303446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130303446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165320064).

130303446 is an abundant number, since it is smaller than the sum of its proper divisors (200336682).

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

130303446 is a wasteful number, since it uses less digits than its factorization.

130303446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 130303446 is about 11415.0534821349. The cubic root of 130303446 is about 506.9735484101.

Adding to 130303446 its reverse (644303031), we get a palindrome (774606477).

The spelling of 130303446 in words is "one hundred thirty million, three hundred three thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 103 147 182 206 273 294 309 331 546 618 637 662 721 993 1274 1339 1442 1911 1986 2163 2317 2678 3822 4017 4303 4326 4634 5047 6951 8034 8606 9373 10094 12909 13902 15141 16219 18746 25818 28119 30121 30282 32438 34093 48657 56238 60242 65611 68186 90363 97314 102279 131222 180726 196833 204558 210847 238651 393666 421694 443209 477302 632541 715953 886418 1265082 1329627 1431906 1670557 2659254 3102463 3341114 5011671 6204926 9307389 10023342 18614778 21717241 43434482 65151723 130303446