Search a number
-
+
655920 = 24325911
BaseRepresentation
bin10100000001000110000
31020022202100
42200020300
5131442140
622020400
75401206
oct2401060
91208670
10655920
11408891
12277700
1319c725
14131076
15ce530
hexa0230

655920 has 60 divisors (see below), whose sum is σ = 2205216. Its totient is φ = 174720.

The previous prime is 655913. The next prime is 655927. The reversal of 655920 is 29556.

655920 is a `hidden beast` number, since 655 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (655913) and next prime (655927).

It is a tau number, because it is divible by the number of its divisors (60).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 655920.

It is not an unprimeable number, because it can be changed into a prime (655927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265 + ... + 1175.

2655920 is an apocalyptic number.

655920 is a gapful number since it is divisible by the number (60) 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 655920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102608).

655920 is an abundant number, since it is smaller than the sum of its proper divisors (1549296).

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

655920 is a wasteful number, since it uses less digits than its factorization.

655920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 655920 is about 809.8888812671. Note that the first 5 decimals coincide. The cubic root of 655920 is about 86.8860974730.

The spelling of 655920 in words is "six hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 911 1822 2733 3644 4555 5466 7288 8199 9110 10932 13665 14576 16398 18220 21864 27330 32796 36440 40995 43728 54660 65592 72880 81990 109320 131184 163980 218640 327960 655920