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206391020 = 225114192239
BaseRepresentation
bin11000100110101…
…00011011101100
3112101100202020212
430103110123230
5410314003040
632251401552
75054203043
oct1423243354
9471322225
10206391020
11a65586a0
12591532b8
13339b4284
141d5a755a
15131bcd65
hexc4d46ec

206391020 has 48 divisors (see below), whose sum is σ = 474163200. Its totient is φ = 74838720.

The previous prime is 206390993. The next prime is 206391023. The reversal of 206391020 is 20193602.

206391020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206391023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91061 + ... + 93299.

It is an arithmetic number, because the mean of its divisors is an integer number (9878400).

Almost surely, 2206391020 is an apocalyptic number.

206391020 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 206391020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

206391020 is an abundant number, since it is smaller than the sum of its proper divisors (267772180).

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

206391020 is a wasteful number, since it uses less digits than its factorization.

206391020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 206391020 is about 14366.3154636114. The cubic root of 206391020 is about 590.9675019326.

The spelling of 206391020 in words is "two hundred six million, three hundred ninety-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 419 838 1676 2095 2239 4190 4478 4609 8380 8956 9218 11195 18436 22390 23045 24629 44780 46090 49258 92180 98516 123145 246290 492580 938141 1876282 3752564 4690705 9381410 10319551 18762820 20639102 41278204 51597755 103195510 206391020