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206375328 = 2532716581
BaseRepresentation
bin11000100110100…
…00100110100000
3112101022221201200
430103100212200
5410313002303
632251201200
75054106225
oct1423204640
9471287650
10206375328
11a6547925
1259146200
13339aa0a3
141d5a194c
15131b83a3
hexc4d09a0

206375328 has 36 divisors (see below), whose sum is σ = 586880658. Its totient is φ = 68791680.

The previous prime is 206375327. The next prime is 206375329. The reversal of 206375328 is 823573602.

It is an interprime number because it is at equal distance from previous prime (206375327) and next prime (206375329).

It can be written as a sum of positive squares in only one way, i.e., 138015504 + 68359824 = 11748^2 + 8268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206375292 and 206375301.

It is not an unprimeable number, because it can be changed into a prime (206375327) 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, 358003 + ... + 358578.

Almost surely, 2206375328 is an apocalyptic number.

It is an amenable number.

206375328 is an abundant number, since it is smaller than the sum of its proper divisors (380505330).

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

206375328 is a wasteful number, since it uses less digits than its factorization.

206375328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716597 (or 716586 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 206375328 is about 14365.7693145895. The cubic root of 206375328 is about 590.9525243800.

The spelling of 206375328 in words is "two hundred six million, three hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 716581 1433162 2149743 2866324 4299486 5732648 6449229 8598972 11465296 12898458 17197944 22930592 25796916 34395888 51593832 68791776 103187664 206375328