Search a number
-
+
206041896 = 233243611091
BaseRepresentation
bin11000100011111…
…11001100101000
3112100201000100100
430101333030220
5410221320041
632240105400
75051220144
oct1421771450
9470630310
10206041896
11a633a365
1259005260
13338c13a8
141d516224
151314e6b6
hexc47f328

206041896 has 96 divisors (see below), whose sum is σ = 580900320. Its totient is φ = 65923200.

The previous prime is 206041883. The next prime is 206041907. The reversal of 206041896 is 698140602.

206041896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 206041896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188311 + ... + 189401.

It is an arithmetic number, because the mean of its divisors is an integer number (6051045).

Almost surely, 2206041896 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 206041896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290450160).

206041896 is an abundant number, since it is smaller than the sum of its proper divisors (374858424).

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

206041896 is a wasteful number, since it uses less digits than its factorization.

206041896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 206041896 is about 14354.1595365246. The cubic root of 206041896 is about 590.6340937207.

It can be divided in two parts, 20604 and 1896, that added together give a square (22500 = 1502).

The spelling of 206041896 in words is "two hundred six million, forty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 61 72 86 122 129 172 183 244 258 344 366 387 488 516 549 732 774 1032 1091 1098 1464 1548 2182 2196 2623 3096 3273 4364 4392 5246 6546 7869 8728 9819 10492 13092 15738 19638 20984 23607 26184 31476 39276 46913 47214 62952 66551 78552 93826 94428 133102 140739 187652 188856 199653 266204 281478 375304 399306 422217 532408 562956 598959 798612 844434 1125912 1197918 1597224 1688868 2395836 2861693 3377736 4791672 5723386 8585079 11446772 17170158 22893544 25755237 34340316 51510474 68680632 103020948 206041896