Search a number
-
+
212000754 = 2373313323
BaseRepresentation
bin11001010001011…
…01111111110010
3112202220202100210
430220231333302
5413233011004
633011524550
75152656000
oct1450557762
9482822323
10212000754
11a973a339
125abb9756
1334bc9744
1420227a70
151392a089
hexca2dff2

212000754 has 64 divisors (see below), whose sum is σ = 510566400. Its totient is φ = 58600080.

The previous prime is 212000753. The next prime is 212000777. The reversal of 212000754 is 457000212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212000754.

It is not an unprimeable number, because it can be changed into a prime (212000753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62137 + ... + 65459.

It is an arithmetic number, because the mean of its divisors is an integer number (7977600).

Almost surely, 2212000754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255283200).

212000754 is an abundant number, since it is smaller than the sum of its proper divisors (298565646).

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

212000754 is a wasteful number, since it uses less digits than its factorization.

212000754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 212000754 is about 14560.2456710043. The cubic root of 212000754 is about 596.2739026760.

Adding to 212000754 its reverse (457000212), we get a palindrome (669000966).

The spelling of 212000754 in words is "two hundred twelve million, seven hundred fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 343 434 651 686 1029 1302 1519 2058 3038 3323 4557 6646 9114 9969 10633 19938 21266 23261 31899 46522 63798 69783 103013 139566 162827 206026 309039 325654 488481 618078 721091 976962 1139789 1442182 2163273 2279578 3419367 4326546 5047637 6838734 10095274 15142911 30285822 35333459 70666918 106000377 212000754