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206801420 = 225713910627
BaseRepresentation
bin11000101001110…
…00101000001100
3112102010121012212
430110320220030
5410420121140
632304245552
75060532410
oct1424705014
9472117185
10206801420
11a6808a71
12593108b8
1333ac9007
141d672d40
151324e765
hexc538a0c

206801420 has 48 divisors (see below), whose sum is σ = 499941120. Its totient is φ = 70386624.

The previous prime is 206801393. The next prime is 206801429. The reversal of 206801420 is 24108602.

It is not an unprimeable number, because it can be changed into a prime (206801429) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14147 + ... + 24773.

It is an arithmetic number, because the mean of its divisors is an integer number (10415440).

Almost surely, 2206801420 is an apocalyptic number.

206801420 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 206801420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249970560).

206801420 is an abundant number, since it is smaller than the sum of its proper divisors (293139700).

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

206801420 is a wasteful number, since it uses less digits than its factorization.

206801420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10782 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 206801420 is about 14380.5917819817. The cubic root of 206801420 is about 591.3589473945.

The spelling of 206801420 in words is "two hundred six million, eight hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1390 1946 2780 3892 4865 9730 10627 19460 21254 42508 53135 74389 106270 148778 212540 297556 371945 743890 1477153 1487780 2954306 5908612 7385765 10340071 14771530 20680142 29543060 41360284 51700355 103400710 206801420