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12661362 = 23271723257
BaseRepresentation
bin110000010011…
…001001110010
3212211021010100
4300103021302
511220130422
61131213230
7212422410
oct60231162
925737110
1012661362
11716873a
1242a7216
13281403c
1419782b0
1511a17ac
hexc13272

12661362 has 96 divisors (see below), whose sum is σ = 34774272. Its totient is φ = 3244032.

The previous prime is 12661357. The next prime is 12661373. The reversal of 12661362 is 26316621.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49138 + ... + 49394.

It is an arithmetic number, because the mean of its divisors is an integer number (362232).

Almost surely, 212661362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12661362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387136).

12661362 is an abundant number, since it is smaller than the sum of its proper divisors (22112910).

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

12661362 is a wasteful number, since it uses less digits than its factorization.

12661362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 309 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12661362 is about 3558.2807646390. The cubic root of 12661362 is about 233.0738098664.

Adding to 12661362 its reverse (26316621), we get a palindrome (38977983).

It can be divided in two parts, 1266 and 1362, that added together give a triangular number (2628 = T72).

The spelling of 12661362 in words is "twelve million, six hundred sixty-one thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 51 63 69 102 119 126 138 153 161 207 238 257 306 322 357 391 414 483 514 714 771 782 966 1071 1173 1449 1542 1799 2142 2313 2346 2737 2898 3519 3598 4369 4626 5397 5474 5911 7038 8211 8738 10794 11822 13107 16191 16422 17733 24633 26214 30583 32382 35466 39321 41377 49266 53199 61166 78642 82754 91749 100487 106398 124131 183498 200974 248262 275247 301461 372393 550494 602922 703409 744786 904383 1406818 1808766 2110227 4220454 6330681 12661362