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130041856 = 211747193
BaseRepresentation
bin1111100000001…
…00100000000000
3100001200210220001
413300010200000
5231242314411
620523125344
73136223530
oct760044000
9301623801
10130041856
116745040a
1237673854
1320c31859
14133b14c0
15b63adc1
hex7c04800

130041856 has 96 divisors (see below), whose sum is σ = 305061120. Its totient is φ = 54263808.

The previous prime is 130041853. The next prime is 130041881. The reversal of 130041856 is 658140031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (130041853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673696 + ... + 673888.

It is an arithmetic number, because the mean of its divisors is an integer number (3177720).

Almost surely, 2130041856 is an apocalyptic number.

130041856 is a gapful number since it is divisible by the number (16) 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 130041856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152530560).

130041856 is an abundant number, since it is smaller than the sum of its proper divisors (175019264).

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

130041856 is an equidigital number, since it uses as much as digits as its factorization.

130041856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 130041856 is about 11403.5896102938. The cubic root of 130041856 is about 506.6340637685.

Adding to 130041856 its reverse (658140031), we get a palindrome (788181887).

The spelling of 130041856 in words is "one hundred thirty million, forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 193 224 256 329 376 386 448 512 658 752 772 896 1024 1316 1351 1504 1544 1792 2048 2632 2702 3008 3088 3584 5264 5404 6016 6176 7168 9071 10528 10808 12032 12352 14336 18142 21056 21616 24064 24704 36284 42112 43232 48128 49408 63497 72568 84224 86464 96256 98816 126994 145136 168448 172928 197632 253988 290272 336896 345856 395264 507976 580544 673792 691712 1015952 1161088 1383424 2031904 2322176 2766848 4063808 4644352 8127616 9288704 16255232 18577408 32510464 65020928 130041856