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206561640 = 23351721347
BaseRepresentation
bin11000100111111…
…10000101101000
3112101200102022010
430103332011220
5410334433030
632255155520
75055513345
oct1423760550
9471612263
10206561640
11a66648aa
1259215ba0
1333a43b2c
141d60d7cc
15132036b0
hexc4fe168

206561640 has 32 divisors (see below), whose sum is σ = 619685280. Its totient is φ = 55083072.

The previous prime is 206561633. The next prime is 206561647. The reversal of 206561640 is 46165602.

206561640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206561633) and next prime (206561647).

It is a super-2 number, since 2×2065616402 = 85335422238979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206561598 and 206561607.

It is not an unprimeable number, because it can be changed into a prime (206561647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 860554 + ... + 860793.

It is an arithmetic number, because the mean of its divisors is an integer number (19365165).

Almost surely, 2206561640 is an apocalyptic number.

206561640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206561640 is an abundant number, since it is smaller than the sum of its proper divisors (413123640).

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

206561640 is a wasteful number, since it uses less digits than its factorization.

206561640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721361 (or 1721357 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 206561640 is about 14372.2524330739. The cubic root of 206561640 is about 591.1303047245.

The spelling of 206561640 in words is "two hundred six million, five hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1721347 3442694 5164041 6885388 8606735 10328082 13770776 17213470 20656164 25820205 34426940 41312328 51640410 68853880 103280820 206561640