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206801056 = 25711174937
BaseRepresentation
bin11000101001110…
…00100010100000
3112102010120201101
430110320202200
5410420113211
632304244144
75060531350
oct1424704240
9472116641
10206801056
11a6808770
1259310654
1333ac8ab7
141d672b60
151324e5c1
hexc5388a0

206801056 has 96 divisors (see below), whose sum is σ = 537570432. Its totient is φ = 75816960.

The previous prime is 206801053. The next prime is 206801087. The reversal of 206801056 is 650108602.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (206801053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39420 + ... + 44356.

It is an arithmetic number, because the mean of its divisors is an integer number (5599692).

Almost surely, 2206801056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206801056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268785216).

206801056 is an abundant number, since it is smaller than the sum of its proper divisors (330769376).

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

206801056 is a wasteful number, since it uses less digits than its factorization.

206801056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 206801056 is about 14380.5791260297. The cubic root of 206801056 is about 591.3586004356.

Adding to 206801056 its reverse (650108602), we get a palindrome (856909658).

It can be divided in two parts, 20680 and 1056, that added together give a triangular number (21736 = T208).

The spelling of 206801056 in words is "two hundred six million, eight hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 544 616 748 952 1232 1309 1496 1904 2464 2618 2992 3808 4937 5236 5984 9874 10472 19748 20944 34559 39496 41888 54307 69118 78992 83929 108614 138236 157984 167858 217228 276472 335716 380149 434456 552944 587503 671432 760298 868912 923219 1105888 1175006 1342864 1520596 1737824 1846438 2350012 2685728 3041192 3692876 4700024 6082384 6462533 7385752 9400048 12164768 12925066 14771504 18800096 25850132 29543008 51700264 103400528 206801056