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12620052 = 22321721213
BaseRepresentation
bin110000001001…
…000100010100
3212202011110100
4300021010110
511212320202
61130254100
7212161104
oct60110424
925664410
1012620052
11713a6a5
124287330
1327cb2b3
141967204
15119441c
hexc09114

12620052 has 54 divisors (see below), whose sum is σ = 33915518. Its totient is φ = 3955968.

The previous prime is 12620039. The next prime is 12620057. The reversal of 12620052 is 25002621.

It can be written as a sum of positive squares in 3 ways, for example, as 1887876 + 10732176 = 1374^2 + 3276^2 .

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 (12620057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9798 + ... + 11010.

Almost surely, 212620052 is an apocalyptic number.

12620052 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 12620052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16957759).

12620052 is an abundant number, since it is smaller than the sum of its proper divisors (21295466).

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

12620052 is a wasteful number, since it uses less digits than its factorization.

12620052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12620052 is about 3552.4712525227. The cubic root of 12620052 is about 232.8200517677.

Adding to 12620052 its reverse (25002621), we get a palindrome (37622673).

The spelling of 12620052 in words is "twelve million, six hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1213 1734 2426 2601 3468 3639 4852 5202 7278 10404 10917 14556 20621 21834 41242 43668 61863 82484 123726 185589 247452 350557 371178 701114 742356 1051671 1402228 2103342 3155013 4206684 6310026 12620052