Search a number
-
+
13027182 = 2373783101
BaseRepresentation
bin110001101100…
…011101101110
3220111211221020
4301230131232
511313332212
61143115010
7215505060
oct61543556
926454836
1013027182
117398573
124442a66
1329116bc
141a31730
151224d8c
hexc6c76e

13027182 has 64 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 3542400.

The previous prime is 13027181. The next prime is 13027207. The reversal of 13027182 is 28172031.

It is a super-2 number, since 2×130271822 = 339414941722248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13027181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128932 + ... + 129032.

It is an arithmetic number, because the mean of its divisors is an integer number (488376).

Almost surely, 213027182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13027182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032).

13027182 is an abundant number, since it is smaller than the sum of its proper divisors (18228882).

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

13027182 is a wasteful number, since it uses less digits than its factorization.

13027182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13027182 is about 3609.3187722893. The cubic root of 13027182 is about 235.2972366817.

The spelling of 13027182 in words is "thirteen million, twenty-seven thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 83 101 111 166 202 222 249 259 303 498 518 581 606 707 777 1162 1414 1554 1743 2121 3071 3486 3737 4242 6142 7474 8383 9213 11211 16766 18426 21497 22422 25149 26159 42994 50298 52318 58681 64491 78477 117362 128982 156954 176043 310171 352086 620342 930513 1861026 2171197 4342394 6513591 13027182