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206669064 = 23372315669
BaseRepresentation
bin11000101000110…
…00010100001000
3112101212212122210
430110120110020
5410401402224
632301345120
75056441500
oct1424302410
9471785583
10206669064
11a6728588
12592681a0
1333a809b4
141d63aa00
1513225429
hexc518508

206669064 has 96 divisors (see below), whose sum is σ = 620524800. Its totient is φ = 57133440.

The previous prime is 206669063. The next prime is 206669081. The reversal of 206669064 is 460966602.

It is not an unprimeable number, because it can be changed into a prime (206669063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33622 + ... + 39290.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2206669064 is an apocalyptic number.

206669064 is a gapful number since it is divisible by the number (24) 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 206669064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

206669064 is an abundant number, since it is smaller than the sum of its proper divisors (413855736).

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

206669064 is a wasteful number, since it uses less digits than its factorization.

206669064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 206669064 is about 14375.9891485769. The cubic root of 206669064 is about 591.2327609483.

The spelling of 206669064 in words is "two hundred six million, six hundred sixty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 372 392 434 588 651 744 868 1176 1302 1519 1736 2604 3038 4557 5208 5669 6076 9114 11338 12152 17007 18228 22676 34014 36456 39683 45352 68028 79366 119049 136056 158732 175739 238098 277781 317464 351478 476196 527217 555562 702956 833343 952392 1054434 1111124 1230173 1405912 1666686 2108868 2222248 2460346 3333372 3690519 4217736 4920692 6666744 7381038 8611211 9841384 14762076 17222422 25833633 29524152 34444844 51667266 68889688 103334532 206669064