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12616020 = 2233561383
BaseRepresentation
bin110000001000…
…000101010100
3212201221221000
4300020011110
511212203040
61130223300
7212143254
oct60100524
925657830
1012616020
11713766a
124284b30
1327c9501
141965964
151193130
hexc08154

12616020 has 96 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3300480.

The previous prime is 12616007. The next prime is 12616027. The reversal of 12616020 is 2061621.

It is a happy number.

12616020 is a `hidden beast` number, since 1 + 2 + 61 + 602 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12615984 and 12616002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12616027) 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 31 ways as a sum of consecutive naturals, for example, 32749 + ... + 33131.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 212616020 is an apocalyptic number.

12616020 is a gapful number since it is divisible by the number (10) 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 12616020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12616020 is an abundant number, since it is smaller than the sum of its proper divisors (27381420).

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

12616020 is a wasteful number, since it uses less digits than its factorization.

12616020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12616020 is about 3551.9037149112. The cubic root of 12616020 is about 232.7952544468.

Adding to 12616020 its reverse (2061621), we get a palindrome (14677641).

The spelling of 12616020 in words is "twelve million, six hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 383 540 549 610 732 766 915 1098 1149 1220 1532 1647 1830 1915 2196 2298 2745 3294 3447 3660 3830 4596 5490 5745 6588 6894 7660 8235 10341 10980 11490 13788 16470 17235 20682 22980 23363 32940 34470 41364 46726 51705 68940 70089 93452 103410 116815 140178 206820 210267 233630 280356 350445 420534 467260 630801 700890 841068 1051335 1261602 1401780 2102670 2523204 3154005 4205340 6308010 12616020