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206678912 = 2711229641
BaseRepresentation
bin11000101000110…
…10101110000000
3112101220101011112
430110122232000
5410402211122
632301502452
75056512266
oct1424325600
9471811145
10206678912
11a6734a20
1259271a28
1333a8531b
141d640436
15132282e2
hexc51ab80

206678912 has 64 divisors (see below), whose sum is σ = 451839600. Its totient is φ = 93388800.

The previous prime is 206678863. The next prime is 206678917. The reversal of 206678912 is 219876602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 206678912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206678917) 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 7 ways as a sum of consecutive naturals, for example, 322112 + ... + 322752.

Almost surely, 2206678912 is an apocalyptic number.

206678912 is a gapful number since it is divisible by the number (22) 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 206678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225919800).

206678912 is an abundant number, since it is smaller than the sum of its proper divisors (245160688).

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

206678912 is a wasteful number, since it uses less digits than its factorization.

206678912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 206678912 is about 14376.3316600585. The cubic root of 206678912 is about 591.2421517551.

The spelling of 206678912 in words is "two hundred six million, six hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 229 352 458 641 704 916 1282 1408 1832 2519 2564 3664 5038 5128 7051 7328 10076 10256 14102 14656 20152 20512 28204 29312 40304 41024 56408 80608 82048 112816 146789 161216 225632 293578 322432 451264 587156 902528 1174312 1614679 2348624 3229358 4697248 6458716 9394496 12917432 18788992 25834864 51669728 103339456 206678912