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5820012 = 2234112371
BaseRepresentation
bin10110001100111001101100
3101221200120000
4112030321230
52442220022
6324424300
7100316652
oct26147154
911850500
105820012
113315730
121b48090
13128a0c3
14ab6dd2
1579e6ac
hex58ce6c

5820012 has 120 divisors (see below), whose sum is σ = 17563392. Its totient is φ = 1663200.

The previous prime is 5820011. The next prime is 5820037. The reversal of 5820012 is 2100285.

5820012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (5820011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81937 + ... + 82007.

Almost surely, 25820012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781696).

5820012 is an abundant number, since it is smaller than the sum of its proper divisors (11743380).

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

5820012 is a wasteful number, since it uses less digits than its factorization.

5820012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5820012 is about 2412.4701034417. The cubic root of 5820012 is about 179.8765820639.

Adding to 5820012 its reverse (2100285), we get a palindrome (7920297).

The spelling of 5820012 in words is "five million, eight hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 71 81 92 99 108 132 138 142 162 198 207 213 253 276 284 297 324 396 414 426 506 594 621 639 759 781 828 852 891 1012 1188 1242 1278 1518 1562 1633 1782 1863 1917 2277 2343 2484 2556 3036 3124 3266 3564 3726 3834 4554 4686 4899 5751 6532 6831 7029 7452 7668 9108 9372 9798 11502 13662 14058 14697 17963 19596 20493 21087 23004 27324 28116 29394 35926 40986 42174 44091 53889 58788 63261 71852 81972 84348 88182 107778 126522 132273 161667 176364 215556 253044 264546 323334 485001 529092 646668 970002 1455003 1940004 2910006 5820012