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130505780 = 22527723557
BaseRepresentation
bin1111100011101…
…01110000110100
3100002120101021102
413301311300310
5231402141110
620541105232
73143165216
oct761656064
9302511242
10130505780
1167737a19
1237858218
1321064a72
14134925b6
15b6cd5a5
hex7c75c34

130505780 has 24 divisors (see below), whose sum is σ = 275063208. Its totient is φ = 52011648.

The previous prime is 130505743. The next prime is 130505801. The reversal of 130505780 is 87505031.

It can be written as a sum of positive squares in 4 ways, for example, as 6584356 + 123921424 = 2566^2 + 11132^2 .

It is a super-2 number, since 2×1305057802 = 34063517226816800, 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, 6239 + ... + 17318.

It is an arithmetic number, because the mean of its divisors is an integer number (11460967).

Almost surely, 2130505780 is an apocalyptic number.

130505780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130505780 is an abundant number, since it is smaller than the sum of its proper divisors (144557428).

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

130505780 is a wasteful number, since it uses less digits than its factorization.

130505780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23843 (or 23841 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 130505780 is about 11423.9126397220. The cubic root of 130505780 is about 507.2358206697.

The spelling of 130505780 in words is "one hundred thirty million, five hundred five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 23557 47114 94228 117785 235570 471140 6525289 13050578 26101156 32626445 65252890 130505780