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13146030 = 2335181269
BaseRepresentation
bin110010001001…
…011110101110
3220201212222000
4302021132232
511331133110
61145433130
7216511422
oct62113656
926655860
1013146030
117469897
12449b7a6
132953821
141a62b82
15124a1c0
hexc897ae

13146030 has 64 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 3473280.

The previous prime is 13146011. The next prime is 13146053. The reversal of 13146030 is 3064131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13145994 and 13146012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48736 + ... + 49004.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 213146030 is an apocalyptic number.

13146030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13146030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

13146030 is an abundant number, since it is smaller than the sum of its proper divisors (22234770).

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

13146030 is a wasteful number, since it uses less digits than its factorization.

13146030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13146030 is about 3625.7454405956. The cubic root of 13146030 is about 236.0106166822.

The spelling of 13146030 in words is "thirteen million, one hundred forty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 181 269 270 362 538 543 807 905 1086 1345 1614 1629 1810 2421 2690 2715 3258 4035 4842 4887 5430 7263 8070 8145 9774 12105 14526 16290 24210 24435 36315 48689 48870 72630 97378 146067 243445 292134 438201 486890 730335 876402 1314603 1460670 2191005 2629206 4382010 6573015 13146030