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130806368 = 2571153087
BaseRepresentation
bin1111100101111…
…11001001100000
3100010010122121022
413302333021200
5231441300433
620551345012
73145556450
oct762771140
9303118538
10130806368
1167922840
1237982168
132113b824
141352dd60
15b73c698
hex7cbf260

130806368 has 48 divisors (see below), whose sum is σ = 321076224. Its totient is φ = 50962560.

The previous prime is 130806349. The next prime is 130806407. The reversal of 130806368 is 863608031.

It is a happy number.

It is a super-2 number, since 2×1308063682 = 34220611818702848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24080 + ... + 29007.

It is an arithmetic number, because the mean of its divisors is an integer number (6689088).

Almost surely, 2130806368 is an apocalyptic number.

It is an amenable number.

130806368 is an abundant number, since it is smaller than the sum of its proper divisors (190269856).

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

130806368 is a wasteful number, since it uses less digits than its factorization.

130806368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53115 (or 53107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 130806368 is about 11437.0611609801. The cubic root of 130806368 is about 507.6249530951.

The spelling of 130806368 in words is "one hundred thirty million, eight hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 53087 106174 212348 371609 424696 583957 743218 849392 1167914 1486436 1698784 2335828 2972872 4087699 4671656 5945744 8175398 9343312 11891488 16350796 18686624 32701592 65403184 130806368