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206503020 = 22345196709
BaseRepresentation
bin11000100111011…
…11110001101100
3112101120102220000
430103233301230
5410331044040
632254024300
75055150423
oct1423576154
9471512800
10206503020
11a6624859
12591a8090
1333a23249
141d5d62ba
15131e1130
hexc4efc6c

206503020 has 120 divisors (see below), whose sum is σ = 682004400. Its totient is φ = 52161408.

The previous prime is 206503013. The next prime is 206503021. The reversal of 206503020 is 20305602.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 206502984 and 206503002.

It is not an unprimeable number, because it can be changed into a prime (206503021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27426 + ... + 34134.

It is an arithmetic number, because the mean of its divisors is an integer number (5683370).

Almost surely, 2206503020 is an apocalyptic number.

206503020 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 206503020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341002200).

206503020 is an abundant number, since it is smaller than the sum of its proper divisors (475501380).

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

206503020 is a wasteful number, since it uses less digits than its factorization.

206503020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 206503020 is about 14370.2129420548. The cubic root of 206503020 is about 591.0743805995.

Adding to 206503020 its reverse (20305602), we get a palindrome (226808622).

The spelling of 206503020 in words is "two hundred six million, five hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 6709 7695 10260 13418 15390 20127 26836 30780 33545 40254 60381 67090 80508 100635 120762 127471 134180 181143 201270 241524 254942 301905 362286 382413 402540 509884 543429 603810 637355 724572 764826 905715 1086858 1147239 1207620 1274710 1529652 1811430 1912065 2173716 2294478 2549420 2717145 3441717 3622860 3824130 4588956 5434290 5736195 6883434 7648260 10325151 10868580 11472390 13766868 17208585 20650302 22944780 34417170 41300604 51625755 68834340 103251510 206503020