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206478990 = 23354753307
BaseRepresentation
bin11000100111010…
…01111010001110
3112101112012221000
430103221322032
5410324311430
632253321130
75055020364
oct1423517216
9471465830
10206478990
11a66087a3
12591961a6
1333a15323
141d5cb634
15131d8e60
hexc4e9e8e

206478990 has 128 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 52700544.

The previous prime is 206478977. The next prime is 206478997. The reversal of 206478990 is 99874602.

It is a happy number.

It is a super-2 number, since 2×2064789902 = 85267146622840200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206478997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 672417 + ... + 672723.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2206478990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206478990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

206478990 is an abundant number, since it is smaller than the sum of its proper divisors (368322930).

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

206478990 is a wasteful number, since it uses less digits than its factorization.

206478990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 206478990 is about 14369.3768132094. The cubic root of 206478990 is about 591.0514526566.

The spelling of 206478990 in words is "two hundred six million, four hundred seventy-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 53 54 90 94 106 135 141 159 235 265 270 282 307 318 423 470 477 530 614 705 795 846 921 954 1269 1410 1431 1535 1590 1842 2115 2385 2491 2538 2763 2862 3070 4230 4605 4770 4982 5526 6345 7155 7473 8289 9210 12455 12690 13815 14310 14429 14946 16271 16578 22419 24910 27630 28858 32542 37365 41445 43287 44838 48813 67257 72145 74730 81355 82890 86574 97626 112095 129861 134514 144290 146439 162710 216435 224190 244065 259722 292878 336285 389583 432870 439317 488130 649305 672570 732195 764737 779166 878634 1298610 1464390 1529474 1947915 2196585 2294211 3823685 3895830 4393170 4588422 6882633 7647370 11471055 13765266 20647899 22942110 34413165 41295798 68826330 103239495 206478990