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206472 = 23371229
BaseRepresentation
bin110010011010001000
3101111020010
4302122020
523101342
64231520
71516650
oct623210
9344203
10206472
11131142
129b5a0
1372c96
1455360
154129c
hex32688

206472 has 32 divisors (see below), whose sum is σ = 590400. Its totient is φ = 58944.

The previous prime is 206467. The next prime is 206477. The reversal of 206472 is 274602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (206467) and next prime (206477).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (206477) by changing a digit.

206472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (18450).

2206472 is an apocalyptic number.

It is an amenable number.

206472 is an abundant number, since it is smaller than the sum of its proper divisors (383928).

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

206472 is a wasteful number, since it uses less digits than its factorization.

206472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 206472 is about 454.3919013363. The cubic root of 206472 is about 59.1044782896.

The spelling of 206472 in words is "two hundred six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1229 2458 3687 4916 7374 8603 9832 14748 17206 25809 29496 34412 51618 68824 103236 206472