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13676130 = 23251311689
BaseRepresentation
bin110100001010…
…111001100010
3221201211010100
4310022321202
512000114010
61205043230
7224150046
oct64127142
927654110
1013676130
1177a1096
1246b6516
132aaabb0
141b60026
1513022c0
hexd0ae62

13676130 has 48 divisors (see below), whose sum is σ = 38296440. Its totient is φ = 3366144.

The previous prime is 13676129. The next prime is 13676153. The reversal of 13676130 is 3167631.

It can be written as a sum of positive squares in 4 ways, for example, as 12383361 + 1292769 = 3519^2 + 1137^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13676094 and 13676103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4675 + ... + 7014.

Almost surely, 213676130 is an apocalyptic number.

13676130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13676130 is an abundant number, since it is smaller than the sum of its proper divisors (24620310).

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

13676130 is a wasteful number, since it uses less digits than its factorization.

13676130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11715 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13676130 is about 3698.1252006929. The cubic root of 13676130 is about 239.1412014364.

The spelling of 13676130 in words is "thirteen million, six hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 11689 23378 35067 58445 70134 105201 116890 151957 175335 210402 303914 350670 455871 526005 759785 911742 1052010 1367613 1519570 2279355 2735226 4558710 6838065 13676130