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206034140 = 225131395701
BaseRepresentation
bin11000100011111…
…01010011011100
3112100200121201002
430101331103130
5410221043030
632240005432
75051155424
oct1421752334
9470617632
10206034140
11a6334554
1259000878
13338ba9c0
141d513484
151314c245
hexc47d4dc

206034140 has 48 divisors (see below), whose sum is σ = 469388640. Its totient is φ = 75513600.

The previous prime is 206034107. The next prime is 206034151. The reversal of 206034140 is 41430602.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33290 + ... + 38990.

It is an arithmetic number, because the mean of its divisors is an integer number (9778930).

Almost surely, 2206034140 is an apocalyptic number.

206034140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234694320).

206034140 is an abundant number, since it is smaller than the sum of its proper divisors (263354500).

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

206034140 is a wasteful number, since it uses less digits than its factorization.

206034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 206034140 is about 14353.8893683907. The cubic root of 206034140 is about 590.6266825815.

Adding to 206034140 its reverse (41430602), we get a palindrome (247464742).

The spelling of 206034140 in words is "two hundred six million, thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 5701 7228 9035 11402 18070 22804 28505 36140 57010 74113 114020 148226 296452 370565 741130 792439 1482260 1584878 3169756 3962195 7924390 10301707 15848780 20603414 41206828 51508535 103017070 206034140