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206252420 = 22511937511
BaseRepresentation
bin11000100101100…
…10100110000100
3112101002201010112
430102302212010
5410300034140
632244412152
75053055003
oct1422624604
9471081115
10206252420
11a6473550
12590a7058
133396616a
141d56cc3a
1513191c65
hexc4b2984

206252420 has 24 divisors (see below), whose sum is σ = 472506048. Its totient is φ = 75000800.

The previous prime is 206252419. The next prime is 206252443. The reversal of 206252420 is 24252602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468536 + ... + 468975.

It is an arithmetic number, because the mean of its divisors is an integer number (19687752).

Almost surely, 2206252420 is an apocalyptic number.

206252420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206252420 is an abundant number, since it is smaller than the sum of its proper divisors (266253628).

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

206252420 is a wasteful number, since it uses less digits than its factorization.

206252420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937531 (or 937529 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 206252420 is about 14361.4908696834. The cubic root of 206252420 is about 590.8351860377.

The spelling of 206252420 in words is "two hundred six million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 937511 1875022 3750044 4687555 9375110 10312621 18750220 20625242 41250484 51563105 103126210 206252420