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12621042 = 2337173193
BaseRepresentation
bin110000001001…
…010011110010
3212202012211000
4300021103302
511212333132
61130302430
7212164020
oct60112362
925665730
1012621042
117140415
124287a16
1327cb895
141967710
15119487c
hexc094f2

12621042 has 64 divisors (see below), whose sum is σ = 32405760. Its totient is φ = 3566592.

The previous prime is 12621041. The next prime is 12621047. The reversal of 12621042 is 24012621.

12621042 is a `hidden beast` number, since 1 + 2 + 621 + 0 + 42 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12621041) 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, 65298 + ... + 65490.

It is an arithmetic number, because the mean of its divisors is an integer number (506340).

Almost surely, 212621042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12621042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202880).

12621042 is an abundant number, since it is smaller than the sum of its proper divisors (19784718).

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

12621042 is a wasteful number, since it uses less digits than its factorization.

12621042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12621042 is about 3552.6105894117. The cubic root of 12621042 is about 232.8261395880.

Adding to 12621042 its reverse (24012621), we get a palindrome (36633663).

It can be divided in two parts, 1262 and 1042, that added together give a square (2304 = 482).

The spelling of 12621042 in words is "twelve million, six hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 173 189 193 346 378 386 519 579 1038 1158 1211 1351 1557 1737 2422 2702 3114 3474 3633 4053 4671 5211 7266 8106 9342 10422 10899 12159 21798 24318 32697 33389 36477 65394 66778 72954 100167 200334 233723 300501 467446 601002 701169 901503 1402338 1803006 2103507 4207014 6310521 12621042