Search a number
-
+
12135348 = 22321779251
BaseRepresentation
bin101110010010…
…101110110100
3211211112120100
4232102232310
511101312343
61112034100
7205102011
oct56225664
924745510
1012135348
116939515
124092930
13268b7a4
14187c708
1510ea9d3
hexb92bb4

12135348 has 72 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3744000.

The previous prime is 12135337. The next prime is 12135349. The reversal of 12135348 is 84353121.

It is a happy number.

12135348 is a `hidden beast` number, since 121 + 3 + 534 + 8 = 666.

It is a super-2 number, since 2×121353482 = 294533342162208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 48223 + ... + 48473.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 212135348 is an apocalyptic number.

12135348 is a gapful number since it is divisible by the number (18) 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 12135348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12135348 is an abundant number, since it is smaller than the sum of its proper divisors (20886732).

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

12135348 is a wasteful number, since it uses less digits than its factorization.

12135348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12135348 is about 3483.5826386064. The cubic root of 12135348 is about 229.8003813049.

Adding to 12135348 its reverse (84353121), we get a palindrome (96488469).

It can be divided in two parts, 1213 and 5348, that added together give a 8-th power (6561 = 38).

The spelling of 12135348 in words is "twelve million, one hundred thirty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 102 153 158 204 237 251 306 316 474 502 612 711 753 948 1004 1343 1422 1506 2259 2686 2844 3012 4029 4267 4518 5372 8058 8534 9036 12087 12801 16116 17068 19829 24174 25602 38403 39658 48348 51204 59487 76806 79316 118974 153612 178461 237948 337093 356922 674186 713844 1011279 1348372 2022558 3033837 4045116 6067674 12135348