Search a number
-
+
655141146 = 2311291013389
BaseRepresentation
bin100111000011001…
…010100100011010
31200122202121200220
4213003022210122
52320204004041
6145001540510
722143415332
oct4703124432
91618677626
10655141146
113068a0270
121634a4736
13a59640aa
146301c0c2
153c7b0d66
hex270ca91a

655141146 has 64 divisors (see below), whose sum is σ = 1493769600. Its totient is φ = 189728000.

The previous prime is 655141141. The next prime is 655141169. The reversal of 655141146 is 641141556.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (655141141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191620 + ... + 195008.

It is an arithmetic number, because the mean of its divisors is an integer number (23340150).

Almost surely, 2655141146 is an apocalyptic number.

655141146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 655141146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746884800).

655141146 is an abundant number, since it is smaller than the sum of its proper divisors (838628454).

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

655141146 is a wasteful number, since it uses less digits than its factorization.

655141146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535.

The product of its digits is 14400, while the sum is 33.

The square root of 655141146 is about 25595.7251508919. The cubic root of 655141146 is about 868.5169369046.

The spelling of 655141146 in words is "six hundred fifty-five million, one hundred forty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 174 202 303 319 606 638 957 1111 1914 2222 2929 3333 3389 5858 6666 6778 8787 10167 17574 20334 32219 37279 64438 74558 96657 98281 111837 193314 196562 223674 294843 342289 589686 684578 1026867 1081091 2053734 2162182 3243273 3765179 6486546 7530358 9926381 11295537 19852762 22591074 29779143 59558286 109190191 218380382 327570573 655141146