Search a number
-
+
655580320 = 2555397797
BaseRepresentation
bin100111000100110…
…101110010100000
31200200120221010121
4213010311302200
52320312032240
6145015210024
722150224613
oct4704656240
91620527117
10655580320
1130707021a
12163676914
13a5a88c65
14630d417a
153c84b04a
hex27135ca0

655580320 has 96 divisors (see below), whose sum is σ = 1596300048. Its totient is φ = 254312448.

The previous prime is 655580297. The next prime is 655580381. The reversal of 655580320 is 23085556.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 334597264 + 320983056 = 18292^2 + 17916^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 822162 + ... + 822958.

Almost surely, 2655580320 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 655580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798150024).

655580320 is an abundant number, since it is smaller than the sum of its proper divisors (940719728).

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

655580320 is a wasteful number, since it uses less digits than its factorization.

655580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 655580320 is about 25604.3027634029. The cubic root of 655580320 is about 868.7109637240.

The spelling of 655580320 in words is "six hundred fifty-five million, five hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 97 106 160 194 212 265 388 424 485 530 776 797 848 970 1060 1552 1594 1696 1940 2120 3104 3188 3880 3985 4240 5141 6376 7760 7970 8480 10282 12752 15520 15940 20564 25504 25705 31880 41128 42241 51410 63760 77309 82256 84482 102820 127520 154618 164512 168964 205640 211205 309236 337928 386545 411280 422410 618472 675856 773090 822560 844820 1236944 1351712 1546180 1689640 2473888 3092360 3379280 4097377 6184720 6758560 8194754 12369440 16389508 20486885 32779016 40973770 65558032 81947540 131116064 163895080 327790160 655580320