Search a number
-
+
30160000 = 27541329
BaseRepresentation
bin111001100001…
…1010010000000
32002202021202001
41303003102000
530210110000
62554233344
7514233013
oct163032200
962667661
1030160000
111602a722
12a125854
13632ca70
14401137a
1529ab46a
hex1cc3480

30160000 has 160 divisors (see below), whose sum is σ = 83645100. Its totient is φ = 10752000.

The previous prime is 30159979. The next prime is 30160027. The reversal of 30160000 is 6103.

It can be written as a sum of positive squares in 10 ways, for example, as 6110784 + 24049216 = 2472^2 + 4904^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039986 + ... + 1040014.

Almost surely, 230160000 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 30160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41822550).

30160000 is an abundant number, since it is smaller than the sum of its proper divisors (53485100).

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

30160000 is an equidigital number, since it uses as much as digits as its factorization.

30160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 30160000 is about 5491.8120870984. The cubic root of 30160000 is about 311.2746683459.

Adding to 30160000 its reverse (6103), we get a palindrome (30166103).

The spelling of 30160000 in words is "thirty million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 29 32 40 50 52 58 64 65 80 100 104 116 125 128 130 145 160 200 208 232 250 260 290 320 325 377 400 416 464 500 520 580 625 640 650 725 754 800 832 928 1000 1040 1160 1250 1300 1450 1508 1600 1625 1664 1856 1885 2000 2080 2320 2500 2600 2900 3016 3200 3250 3625 3712 3770 4000 4160 4640 5000 5200 5800 6032 6500 7250 7540 8000 8125 8320 9280 9425 10000 10400 11600 12064 13000 14500 15080 16000 16250 18125 18560 18850 20000 20800 23200 24128 26000 29000 30160 32500 36250 37700 40000 41600 46400 47125 48256 52000 58000 60320 65000 72500 75400 80000 92800 94250 104000 116000 120640 130000 145000 150800 188500 208000 232000 235625 241280 260000 290000 301600 377000 464000 471250 520000 580000 603200 754000 942500 1040000 1160000 1206400 1508000 1885000 2320000 3016000 3770000 6032000 7540000 15080000 30160000