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206120900 = 22522061209
BaseRepresentation
bin11000100100100…
…10011111000100
3112100212000201102
430102102133010
5410231332100
632241515232
75051666366
oct1422223704
9470760642
10206120900
11a6393757
1259042b18
133391b33b
141d536d36
1513167cd5
hexc4927c4

206120900 has 18 divisors (see below), whose sum is σ = 447282570. Its totient is φ = 82448320.

The previous prime is 206120879. The next prime is 206120909. The reversal of 206120900 is 9021602.

It can be written as a sum of positive squares in 3 ways, for example, as 1459264 + 204661636 = 1208^2 + 14306^2 .

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

It is not an unprimeable number, because it can be changed into a prime (206120909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1030505 + ... + 1030704.

Almost surely, 2206120900 is an apocalyptic number.

206120900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206120900 is an abundant number, since it is smaller than the sum of its proper divisors (241161670).

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

206120900 is a wasteful number, since it uses less digits than its factorization.

206120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061223 (or 2061216 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 206120900 is about 14356.9112276980. The cubic root of 206120900 is about 590.7095743133.

The spelling of 206120900 in words is "two hundred six million, one hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2061209 4122418 8244836 10306045 20612090 41224180 51530225 103060450 206120900