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130811856 = 24372316927
BaseRepresentation
bin1111100110000…
…00011111010000
3100010010221010120
413303000133100
5231441434411
620551430240
73145611450
oct763003720
9303127116
10130811856
116792697a
1237985380
1321141186
1413531d60
15b73e106
hex7cc07d0

130811856 has 80 divisors (see below), whose sum is σ = 403021824. Its totient is φ = 35747712.

The previous prime is 130811843. The next prime is 130811861. The reversal of 130811856 is 658118031.

It is a super-2 number, since 2×1308118562 = 34223483340329472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736 + ... + 16191.

Almost surely, 2130811856 is an apocalyptic number.

130811856 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 130811856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201510912).

130811856 is an abundant number, since it is smaller than the sum of its proper divisors (272209968).

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

130811856 is a wasteful number, since it uses less digits than its factorization.

130811856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16968 (or 16962 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 130811856 is about 11437.3010802374. The cubic root of 130811856 is about 507.6320521552.

Adding to 130811856 its reverse (658118031), we get a palindrome (788929887).

The spelling of 130811856 in words is "one hundred thirty million, eight hundred eleven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 16927 33854 50781 67708 101562 118489 135416 203124 236978 270832 355467 389321 406248 473956 710934 778642 812496 947912 1167963 1421868 1557284 1895824 2335926 2725247 2843736 3114568 4671852 5450494 5687472 6229136 8175741 9343704 10900988 16351482 18687408 21801976 32702964 43603952 65405928 130811856