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206426740 = 225132157389
BaseRepresentation
bin11000100110111…
…01001001110100
3112101102120020211
430103131021310
5410321123430
632252235204
75054412142
oct1423351164
9471376224
10206426740
11a6582513
125916bb04
13339c7600
141d5b6592
15131c872a
hexc4dd274

206426740 has 72 divisors (see below), whose sum is σ = 473611320. Its totient is φ = 75538944.

The previous prime is 206426687. The next prime is 206426743. The reversal of 206426740 is 47624602.

206426740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 163942416 + 42484324 = 12804^2 + 6518^2 .

It is a super-2 number, since 2×2064267402 = 85223997974055200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206426743) 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, 530466 + ... + 530854.

It is an arithmetic number, because the mean of its divisors is an integer number (6577935).

Almost surely, 2206426740 is an apocalyptic number.

206426740 is a gapful number since it is divisible by the number (20) 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 206426740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236805660).

206426740 is an abundant number, since it is smaller than the sum of its proper divisors (267184580).

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

206426740 is a wasteful number, since it uses less digits than its factorization.

206426740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 206426740 is about 14367.5585956696. The cubic root of 206426740 is about 591.0015927916.

The spelling of 206426740 in words is "two hundred six million, four hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 169 260 314 338 389 628 676 778 785 845 1556 1570 1690 1945 2041 3140 3380 3890 4082 5057 7780 8164 10114 10205 20228 20410 25285 26533 40820 50570 53066 61073 65741 101140 106132 122146 131482 132665 244292 262964 265330 305365 328705 530660 610730 657410 793949 1221460 1314820 1587898 3175796 3969745 7939490 10321337 15878980 20642674 41285348 51606685 103213370 206426740