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206460020 = 22513794077
BaseRepresentation
bin11000100111001…
…01010001110100
3112101111020220102
430103211101310
5410323210040
632253053232
75054611154
oct1423452164
9471436812
10206460020
11a65a5518
1259187218
1333a097c0
141d5c4764
15131d3515
hexc4e5474

206460020 has 24 divisors (see below), whose sum is σ = 466917864. Its totient is φ = 76231296.

The previous prime is 206459993. The next prime is 206460041. The reversal of 206460020 is 20064602.

It can be written as a sum of positive squares in 4 ways, for example, as 48052624 + 158407396 = 6932^2 + 12586^2 .

It is a super-3 number, since 3×2064600203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 206459974 and 206460001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396779 + ... + 397298.

It is an arithmetic number, because the mean of its divisors is an integer number (19454911).

Almost surely, 2206460020 is an apocalyptic number.

206460020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206460020 is an abundant number, since it is smaller than the sum of its proper divisors (260457844).

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

206460020 is a wasteful number, since it uses less digits than its factorization.

206460020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794099 (or 794097 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 206460020 is about 14368.7167137500. The cubic root of 206460020 is about 591.0333513969.

The spelling of 206460020 in words is "two hundred six million, four hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 794077 1588154 3176308 3970385 7940770 10323001 15881540 20646002 41292004 51615005 103230010 206460020