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206682048 = 26322315601
BaseRepresentation
bin11000101000110…
…11011111000000
3112101220112110200
430110123133000
5410402311143
632301525200
75056524366
oct1424333700
9471815420
10206682048
11a6737311
1259273800
1333a86891
141d641636
15132291d3
hexc51b7c0

206682048 has 84 divisors (see below), whose sum is σ = 618213648. Its totient is φ = 65894400.

The previous prime is 206682029. The next prime is 206682059. The reversal of 206682048 is 840286602.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5448 + ... + 21048.

Almost surely, 2206682048 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 206682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309106824).

206682048 is an abundant number, since it is smaller than the sum of its proper divisors (411531600).

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

206682048 is a wasteful number, since it uses less digits than its factorization.

206682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15642 (or 15629 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 206682048 is about 14376.4407278019. The cubic root of 206682048 is about 591.2451421038.

The spelling of 206682048 in words is "two hundred six million, six hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 15601 31202 46803 62404 93606 124808 140409 187212 249616 280818 358823 374424 499232 561636 717646 748848 998464 1076469 1123272 1435292 1497696 2152938 2246544 2870584 2995392 3229407 4305876 4493088 5741168 6458814 8611752 8986176 11482336 12917628 17223504 22964672 25835256 34447008 51670512 68894016 103341024 206682048