Search a number
-
+
206090856 = 233223971283
BaseRepresentation
bin11000100100010…
…11001001101000
3112100210111111200
430102023021220
5410224401411
632241124200
75051512656
oct1422131150
9470714450
10206090856
11a6373124
1259029660
133390a76a
141d529dd6
151315de56
hexc48b268

206090856 has 96 divisors (see below), whose sum is σ = 588893760. Its totient is φ = 64982016.

The previous prime is 206090831. The next prime is 206090897. The reversal of 206090856 is 658090602.

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

It is a self number, because there is not a number n which added to its sum of digits gives 206090856.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 159991 + ... + 161273.

It is an arithmetic number, because the mean of its divisors is an integer number (6134310).

Almost surely, 2206090856 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 206090856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294446880).

206090856 is an abundant number, since it is smaller than the sum of its proper divisors (382802904).

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

206090856 is a wasteful number, since it uses less digits than its factorization.

206090856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 206090856 is about 14355.8648642288. The cubic root of 206090856 is about 590.6808724837.

The spelling of 206090856 in words is "two hundred six million, ninety thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 97 138 184 194 207 276 291 388 414 552 582 776 828 873 1164 1283 1656 1746 2231 2328 2566 3492 3849 4462 5132 6693 6984 7698 8924 10264 11547 13386 15396 17848 20079 23094 26772 29509 30792 40158 46188 53544 59018 80316 88527 92376 118036 124451 160632 177054 236072 248902 265581 354108 373353 497804 531162 708216 746706 995608 1062324 1120059 1493412 2124648 2240118 2862373 2986824 4480236 5724746 8587119 8960472 11449492 17174238 22898984 25761357 34348476 51522714 68696952 103045428 206090856