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206508540 = 22357270241
BaseRepresentation
bin11000100111100…
…01000111111100
3112101120201110110
430103301013330
5410331233130
632254110020
75055202500
oct1423610774
9471521413
10206508540
11a6628a17
12591ab310
1333a25904
141d5d8300
15131e2ab0
hexc4f11fc

206508540 has 72 divisors (see below), whose sum is σ = 672637392. Its totient is φ = 47201280.

The previous prime is 206508529. The next prime is 206508551. The reversal of 206508540 is 45805602.

It is an interprime number because it is at equal distance from previous prime (206508529) and next prime (206508551).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206508498 and 206508507.

It is a congruent number.

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, 32181 + ... + 38060.

It is an arithmetic number, because the mean of its divisors is an integer number (9342186).

Almost surely, 2206508540 is an apocalyptic number.

206508540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206508540 is an abundant number, since it is smaller than the sum of its proper divisors (466128852).

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

206508540 is a wasteful number, since it uses less digits than its factorization.

206508540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70267 (or 70258 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 206508540 is about 14370.4050047311. The cubic root of 206508540 is about 591.0796471916.

The spelling of 206508540 in words is "two hundred six million, five hundred eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 70241 140482 210723 280964 351205 421446 491687 702410 842892 983374 1053615 1404820 1475061 1966748 2107230 2458435 2950122 3441809 4214460 4916870 5900244 6883618 7375305 9833740 10325427 13767236 14750610 17209045 20650854 29501220 34418090 41301708 51627135 68836180 103254270 206508540