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206379972 = 223213941243
BaseRepresentation
bin11000100110100…
…01101111000100
3112101100012002200
430103101233010
5410313124342
632251234500
75054125611
oct1423215704
9471305080
10206379972
11a6550367
1259148a30
13339ac236
141d5a3508
15131b994c
hexc4d1bc4

206379972 has 36 divisors (see below), whose sum is σ = 525448560. Its totient is φ = 68296752.

The previous prime is 206379959. The next prime is 206380003. The reversal of 206379972 is 279973602.

It is a happy number.

206379972 is a `hidden beast` number, since 2 + 0 + 637 + 9 + 9 + 7 + 2 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 15618 + ... + 25625.

Almost surely, 2206379972 is an apocalyptic number.

It is an amenable number.

206379972 is an abundant number, since it is smaller than the sum of its proper divisors (319068588).

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

206379972 is a wasteful number, since it uses less digits than its factorization.

206379972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41392 (or 41387 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 206379972 is about 14365.9309479059. The cubic root of 206379972 is about 590.9569570205.

The spelling of 206379972 in words is "two hundred six million, three hundred seventy-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 834 1251 1668 2502 5004 41243 82486 123729 164972 247458 371187 494916 742374 1484748 5732777 11465554 17198331 22931108 34396662 51594993 68793324 103189986 206379972