Search a number
-
+
206141274 = 235532151
BaseRepresentation
bin11000100100101…
…11011101011010
3112100220001200000
430102113131122
5410233010044
632242153430
75052112653
oct1422273532
9470801600
10206141274
11a63a7a99
1259052876
13339276b1
141d54052a
151316dd69
hexc49775a

206141274 has 72 divisors (see below), whose sum is σ = 475212192. Its totient is φ = 66970800.

The previous prime is 206141263. The next prime is 206141281. The reversal of 206141274 is 472141602.

206141274 is a `hidden beast` number, since 20 + 614 + 1 + 27 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1365099 + ... + 1365249.

Almost surely, 2206141274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206141274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237606096).

206141274 is an abundant number, since it is smaller than the sum of its proper divisors (269070918).

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

206141274 is an equidigital number, since it uses as much as digits as its factorization.

206141274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 206141274 is about 14357.6207639010. The cubic root of 206141274 is about 590.7290365485.

Adding to 206141274 its reverse (472141602), we get a palindrome (678282876).

The spelling of 206141274 in words is "two hundred six million, one hundred forty-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 151 159 162 243 302 318 453 477 486 906 954 1359 1431 2718 2809 2862 4077 4293 5618 8003 8154 8427 8586 12231 12879 16006 16854 24009 24462 25281 25758 36693 48018 50562 72027 73386 75843 144054 151686 216081 227529 424159 432162 455058 648243 682587 848318 1272477 1296486 1365174 1944729 2544954 3817431 3889458 7634862 11452293 22904586 34356879 68713758 103070637 206141274