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130318848 = 293311857
BaseRepresentation
bin1111100010010…
…00001000000000
3100002012212212000
413301020020000
5231330200343
620533104000
73141456222
oct761101000
9302185760
10130318848
116761a530
1237788000
1320cca95a
1413444412
15b692ed3
hex7c48200

130318848 has 160 divisors (see below), whose sum is σ = 421312320. Its totient is φ = 39444480.

The previous prime is 130318829. The next prime is 130318861. The reversal of 130318848 is 848813031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151636 + ... + 152492.

It is an arithmetic number, because the mean of its divisors is an integer number (2633202).

Almost surely, 2130318848 is an apocalyptic number.

130318848 is a gapful number since it is divisible by the number (18) 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 130318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656160).

130318848 is an abundant number, since it is smaller than the sum of its proper divisors (290993472).

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

130318848 is an equidigital number, since it uses as much as digits as its factorization.

130318848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 130318848 is about 11415.7280976730. The cubic root of 130318848 is about 506.9935225530.

The spelling of 130318848 in words is "one hundred thirty million, three hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 857 864 1056 1152 1188 1408 1536 1584 1714 1728 2112 2304 2376 2571 2816 3168 3428 3456 4224 4608 4752 5142 5632 6336 6856 6912 7713 8448 9427 9504 10284 12672 13712 13824 15426 16896 18854 19008 20568 23139 25344 27424 28281 30852 37708 38016 41136 46278 50688 54848 56562 61704 75416 76032 82272 84843 92556 109696 113124 123408 150832 152064 164544 169686 185112 219392 226248 246816 254529 301664 329088 339372 370224 438784 452496 493632 509058 603328 658176 678744 740448 904992 987264 1018116 1206656 1316352 1357488 1480896 1809984 1974528 2036232 2413312 2714976 2961792 3619968 3949056 4072464 4826624 5429952 5923584 7239936 8144928 10859904 11847168 14479872 16289856 21719808 32579712 43439616 65159424 130318848