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13182030 = 2325149983
BaseRepresentation
bin110010010010…
…010001001110
3220210201100100
4302102101032
511333311110
61150311530
7220021401
oct62222116
926721310
1013182030
117493944
1244b85a6
132967024
141a71d38
151255bc0
hexc9244e

13182030 has 48 divisors (see below), whose sum is σ = 34538400. Its totient is φ = 3488064.

The previous prime is 13182017. The next prime is 13182031. The reversal of 13182030 is 3028131.

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 = 13181994 and 13182012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13182031) 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, 12919 + ... + 13901.

It is an arithmetic number, because the mean of its divisors is an integer number (719550).

Almost surely, 213182030 is an apocalyptic number.

13182030 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 13182030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17269200).

13182030 is an abundant number, since it is smaller than the sum of its proper divisors (21356370).

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

13182030 is a wasteful number, since it uses less digits than its factorization.

13182030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13182030 is about 3630.7065428095. The cubic root of 13182030 is about 236.2258562713.

The spelling of 13182030 in words is "thirteen million, one hundred eighty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 983 1341 1490 1966 2235 2682 2949 4470 4915 5898 6705 8847 9830 13410 14745 17694 29490 44235 88470 146467 292934 439401 732335 878802 1318203 1464670 2197005 2636406 4394010 6591015 13182030