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206068416 = 2636783193
BaseRepresentation
bin11000100100001…
…01101011000000
3112100202100201120
430102011223000
5410223142131
632240432240
75051360361
oct1422055300
9470670646
10206068416
11a6358284
1259018680
1333900498
141d521b68
1513157496
hexc485ac0

206068416 has 112 divisors (see below), whose sum is σ = 562929024. Its totient is φ = 66502656.

The previous prime is 206068397. The next prime is 206068417. The reversal of 206068416 is 614860602.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (206068417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067616 + ... + 1067808.

It is an arithmetic number, because the mean of its divisors is an integer number (5026152).

Almost surely, 2206068416 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 206068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281464512).

206068416 is an abundant number, since it is smaller than the sum of its proper divisors (356860608).

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

206068416 is a wasteful number, since it uses less digits than its factorization.

206068416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 206068416 is about 14355.0832808452. The cubic root of 206068416 is about 590.6594331371.

The spelling of 206068416 in words is "two hundred six million, sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 83 96 134 166 192 193 201 249 268 332 386 402 498 536 579 664 772 804 996 1072 1158 1328 1544 1608 1992 2144 2316 2656 3088 3216 3984 4288 4632 5312 5561 6176 6432 7968 9264 11122 12352 12864 12931 15936 16019 16683 18528 22244 25862 32038 33366 37056 38793 44488 48057 51724 64076 66732 77586 88976 96114 103448 128152 133464 155172 177952 192228 206896 256304 266928 310344 355904 384456 413792 512608 533856 620688 768912 827584 1025216 1067712 1073273 1241376 1537824 2146546 2482752 3075648 3219819 4293092 6439638 8586184 12879276 17172368 25758552 34344736 51517104 68689472 103034208 206068416