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206152040 = 2356178353
BaseRepresentation
bin11000100100110…
…10000101101000
3112100220121102202
430102122011220
5410233331130
632242315332
75052156233
oct1422320550
9470817382
10206152040
11a6405096
1259058b48
133392c573
141d54441a
1513172145
hexc49a168

206152040 has 32 divisors (see below), whose sum is σ = 464649480. Its totient is φ = 82317312.

The previous prime is 206152003. The next prime is 206152057. The reversal of 206152040 is 40251602.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 122722084 + 83429956 = 11078^2 + 9134^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 20504 + ... + 28856.

Almost surely, 2206152040 is an apocalyptic number.

206152040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206152040 is an abundant number, since it is smaller than the sum of its proper divisors (258497440).

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

206152040 is a wasteful number, since it uses less digits than its factorization.

206152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 206152040 is about 14357.9956818492. The cubic root of 206152040 is about 590.7393202373.

The spelling of 206152040 in words is "two hundred six million, one hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 617 1234 2468 3085 4936 6170 8353 12340 16706 24680 33412 41765 66824 83530 167060 334120 5153801 10307602 20615204 25769005 41230408 51538010 103076020 206152040