Search a number
-
+
206893380 = 223531412713
BaseRepresentation
bin11000101010011…
…11000101000100
3112102022021100210
430111033011010
5410431042010
632310235420
75061364461
oct1425170504
9472267323
10206893380
11a6871071
1259355b70
1333b2bb25
141d698668
151326bb20
hexc54f144

206893380 has 96 divisors (see below), whose sum is σ = 612799488. Its totient is φ = 52070400.

The previous prime is 206893373. The next prime is 206893403. The reversal of 206893380 is 83398602.

206893380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74904 + ... + 77616.

It is an arithmetic number, because the mean of its divisors is an integer number (6383328).

Almost surely, 2206893380 is an apocalyptic number.

206893380 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 206893380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306399744).

206893380 is an abundant number, since it is smaller than the sum of its proper divisors (405906108).

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

206893380 is a wasteful number, since it uses less digits than its factorization.

206893380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 206893380 is about 14383.7887915528. The cubic root of 206893380 is about 591.4465891365.

The spelling of 206893380 in words is "two hundred six million, eight hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 310 372 410 465 492 615 620 820 930 1230 1271 1860 2460 2542 2713 3813 5084 5426 6355 7626 8139 10852 12710 13565 15252 16278 19065 25420 27130 32556 38130 40695 54260 76260 81390 84103 111233 162780 168206 222466 252309 333699 336412 420515 444932 504618 556165 667398 841030 1009236 1112330 1261545 1334796 1668495 1682060 2224660 2523090 3336990 3448223 5046180 6673980 6896446 10344669 13792892 17241115 20689338 34482230 41378676 51723345 68964460 103446690 206893380