Search a number
-
+
610161120 = 25335141241
BaseRepresentation
bin100100010111100…
…101000111100000
31120112010101201000
4210113211013200
52222200123440
6140313512000
721056166252
oct4427450740
91515111630
10610161120
11293469098
12150412600
13995458aa
145b06dcd2
1538878730
hex245e51e0

610161120 has 96 divisors (see below), whose sum is σ = 2135579040. Its totient is φ = 162708480.

The previous prime is 610161103. The next prime is 610161121. The reversal of 610161120 is 21161016.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 610161093 and 610161102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610161121) 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 15 ways as a sum of consecutive naturals, for example, 66301 + ... + 74940.

It is an arithmetic number, because the mean of its divisors is an integer number (22245615).

Almost surely, 2610161120 is an apocalyptic number.

610161120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

610161120 is an abundant number, since it is smaller than the sum of its proper divisors (1525417920).

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

610161120 is a wasteful number, since it uses less digits than its factorization.

610161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141265 (or 141251 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 610161120 is about 24701.4396341590. The cubic root of 610161120 is about 848.1672715003.

The spelling of 610161120 in words is "six hundred ten million, one hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 141241 282482 423723 564964 706205 847446 1129928 1271169 1412410 1694892 2118615 2259856 2542338 2824820 3389784 3813507 4237230 4519712 5084676 5649640 6355845 6779568 7627014 8474460 10169352 11299280 12711690 13559136 15254028 16948920 19067535 20338704 22598560 25423380 30508056 33897840 38135070 40677408 50846760 61016112 67795680 76270140 101693520 122032224 152540280 203387040 305080560 610161120