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130986090 = 23257319937
BaseRepresentation
bin1111100111010…
…11000001101010
3100010110210010200
413303223001222
5232013023330
620555253030
73150235434
oct763530152
9303423120
10130986090
1167a35874
1237a4a176
13211a2581
1413579654
15b775a60
hex7ceb06a

130986090 has 48 divisors (see below), whose sum is σ = 345246408. Its totient is φ = 34449408.

The previous prime is 130986043. The next prime is 130986091. The reversal of 130986090 is 90689031.

It can be written as a sum of positive squares in 4 ways, for example, as 88566921 + 42419169 = 9411^2 + 6513^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130986091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3399 + ... + 16538.

Almost surely, 2130986090 is an apocalyptic number.

130986090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130986090 is an abundant number, since it is smaller than the sum of its proper divisors (214260318).

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

130986090 is a wasteful number, since it uses less digits than its factorization.

130986090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20023 (or 20020 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 130986090 is about 11444.9154649565. The cubic root of 130986090 is about 507.8573312342.

The spelling of 130986090 in words is "one hundred thirty million, nine hundred eighty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 19937 39874 59811 99685 119622 179433 199370 299055 358866 598110 897165 1455401 1794330 2910802 4366203 7277005 8732406 13098609 14554010 21831015 26197218 43662030 65493045 130986090