Search a number
-
+
820161654 = 231310514893
BaseRepresentation
bin110000111000101…
…010110001110110
32010011021112021120
4300320222301312
53134430133104
6213214524410
726216154564
oct6070526166
92104245246
10820161654
11390a61654
121aa806706
13100bc1a70
147acd6a34
154c00acd9
hex30e2ac76

820161654 has 16 divisors (see below), whose sum is σ = 1766502192. Its totient is φ = 252357408.

The previous prime is 820161649. The next prime is 820161659. The reversal of 820161654 is 456161028.

820161654 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820161649) and next prime (820161659).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820161659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5257369 + ... + 5257524.

It is an arithmetic number, because the mean of its divisors is an integer number (110406387).

Almost surely, 2820161654 is an apocalyptic number.

820161654 is an abundant number, since it is smaller than the sum of its proper divisors (946340538).

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

820161654 is a wasteful number, since it uses less digits than its factorization.

820161654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514911.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 820161654 is about 28638.4645887310. The cubic root of 820161654 is about 936.0516650019.

The spelling of 820161654 in words is "eight hundred twenty million, one hundred sixty-one thousand, six hundred fifty-four".

Divisors: 1 2 3 6 13 26 39 78 10514893 21029786 31544679 63089358 136693609 273387218 410080827 820161654