Search a number
-
+
655255980 = 22345676037
BaseRepresentation
bin100111000011100…
…110100110101100
31200122222110020000
4213003212212230
52320221142410
6145004224300
722144404201
oct4703464654
91618873200
10655255980
11306969575
1216353b090
13a59a4442
146304bca8
153c7d4dc0
hex270e69ac

655255980 has 120 divisors (see below), whose sum is σ = 2086587888. Its totient is φ = 172098432.

The previous prime is 655255963. The next prime is 655255981. The reversal of 655255980 is 89552556.

655255980 is a `hidden beast` number, since 6 + 5 + 52 + 5 + 598 + 0 = 666.

655255980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (655255981) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105522 + ... + 111558.

Almost surely, 2655255980 is an apocalyptic number.

655255980 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 655255980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043293944).

655255980 is an abundant number, since it is smaller than the sum of its proper divisors (1431331908).

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

655255980 is a wasteful number, since it uses less digits than its factorization.

655255980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The square root of 655255980 is about 25597.9682787521. The cubic root of 655255980 is about 868.5676788696.

The spelling of 655255980 in words is "six hundred fifty-five million, two hundred fifty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 268 270 324 335 402 405 540 603 670 804 810 1005 1206 1340 1620 1809 2010 2412 3015 3618 4020 5427 6030 6037 7236 9045 10854 12060 12074 18090 18111 21708 24148 27135 30185 36180 36222 54270 54333 60370 72444 90555 108540 108666 120740 162999 181110 217332 271665 325998 362220 404479 488997 543330 651996 808958 814995 977994 1086660 1213437 1617916 1629990 1955988 2022395 2426874 2444985 3259980 3640311 4044790 4853748 4889970 6067185 7280622 8089580 9779940 10920933 12134370 14561244 18201555 21841866 24268740 32762799 36403110 43683732 54604665 65525598 72806220 109209330 131051196 163813995 218418660 327627990 655255980