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13106232 = 2333471291
BaseRepresentation
bin110001111111…
…110000111000
3220122212101000
4301333300320
511323344412
61144525000
7216254406
oct61776070
926585330
1013106232
1174419a7
124480760
13293b689
141a52476
15123d4dc
hexc7fc38

13106232 has 64 divisors (see below), whose sum is σ = 37209600. Its totient is φ = 4272480.

The previous prime is 13106227. The next prime is 13106237. The reversal of 13106232 is 23260131.

It is an interprime number because it is at equal distance from previous prime (13106227) and next prime (13106237).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9507 + ... + 10797.

It is an arithmetic number, because the mean of its divisors is an integer number (581400).

Almost surely, 213106232 is an apocalyptic number.

13106232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604800).

13106232 is an abundant number, since it is smaller than the sum of its proper divisors (24103368).

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

13106232 is a wasteful number, since it uses less digits than its factorization.

13106232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1343 counting only the distinct ones).

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

The square root of 13106232 is about 3620.2530298309. The cubic root of 13106232 is about 235.7722115017.

Adding to 13106232 its reverse (23260131), we get a palindrome (36366363).

The spelling of 13106232 in words is "thirteen million, one hundred six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1291 1692 2538 2582 3384 3873 5076 5164 7746 10152 10328 11619 15492 23238 30984 34857 46476 60677 69714 92952 121354 139428 182031 242708 278856 364062 485416 546093 728124 1092186 1456248 1638279 2184372 3276558 4368744 6553116 13106232