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130806620 = 22577911827
BaseRepresentation
bin1111100101111…
…11001101011100
3100010010122221122
413302333031130
5231441302440
620551350112
73145560260
oct762771534
9303118848
10130806620
1167922a4a
1237982338
132113b989
14135300a0
15b73c7b5
hex7cbf35c

130806620 has 48 divisors (see below), whose sum is σ = 317936640. Its totient is φ = 44276544.

The previous prime is 130806607. The next prime is 130806623. The reversal of 130806620 is 26608031.

130806620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1308066202 = 34220743671648800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130806620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130806623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5147 + ... + 16973.

It is an arithmetic number, because the mean of its divisors is an integer number (6623680).

Almost surely, 2130806620 is an apocalyptic number.

130806620 is a gapful number since it is divisible by the number (10) 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 130806620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158968320).

130806620 is an abundant number, since it is smaller than the sum of its proper divisors (187130020).

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

130806620 is a wasteful number, since it uses less digits than its factorization.

130806620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11922 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 130806620 is about 11437.0721777910. The cubic root of 130806620 is about 507.6252790767.

The spelling of 130806620 in words is "one hundred thirty million, eight hundred six thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 11060 11827 23654 47308 59135 82789 118270 165578 236540 331156 413945 827890 934333 1655780 1868666 3737332 4671665 6540331 9343330 13080662 18686660 26161324 32701655 65403310 130806620