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10768212 = 223271319173
BaseRepresentation
bin101001000100…
…111101010100
3202021002012200
4221010331110
510224040322
61022444500
7160346130
oct51047524
922232180
1010768212
116095354
123733730
132300430
1416043c0
15e2a8ac
hexa44f54

10768212 has 144 divisors (see below), whose sum is σ = 35468160. Its totient is φ = 2674944.

The previous prime is 10768207. The next prime is 10768213. The reversal of 10768212 is 21286701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10768213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62158 + ... + 62330.

Almost surely, 210768212 is an apocalyptic number.

10768212 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 10768212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17734080).

10768212 is an abundant number, since it is smaller than the sum of its proper divisors (24699948).

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

10768212 is a wasteful number, since it uses less digits than its factorization.

10768212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10768212 is about 3281.4953908241. The cubic root of 10768212 is about 220.8248101453.

The spelling of 10768212 in words is "ten million, seven hundred sixty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 173 182 228 234 247 252 266 273 342 346 364 399 468 494 519 532 546 684 692 741 798 819 988 1038 1092 1197 1211 1482 1557 1596 1638 1729 2076 2223 2249 2394 2422 2964 3114 3276 3287 3458 3633 4446 4498 4788 4844 5187 6228 6574 6747 6916 7266 8892 8996 9861 10374 10899 13148 13494 14532 15561 15743 19722 20241 20748 21798 23009 26988 29583 31122 31486 39444 40482 42731 43596 46018 47229 59166 62244 62972 69027 80964 85462 92036 94458 118332 128193 138054 141687 170924 188916 207081 256386 276108 283374 299117 384579 414162 512772 566748 598234 769158 828324 897351 1196468 1538316 1794702 2692053 3589404 5384106 10768212