Search a number
-
+
30204000 = 253253839
BaseRepresentation
bin111001100111…
…0000001100000
32002211112002200
41303032001200
530213012000
62555213200
7514505211
oct163160140
962745080
1030204000
111605a792
12a147200
136346ab8
144023408
1529b9500
hex1cce060

30204000 has 144 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 8044800.

The previous prime is 30203989. The next prime is 30204059. The reversal of 30204000 is 40203.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35581 + ... + 36419.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 230204000 is an apocalyptic number.

30204000 is a gapful number since it is divisible by the number (30) 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 30204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

30204000 is an abundant number, since it is smaller than the sum of its proper divisors (77117760).

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

30204000 is a wasteful number, since it uses less digits than its factorization.

30204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30204000 is about 5495.8165908262. The cubic root of 30204000 is about 311.4259662068.

Adding to 30204000 its reverse (40203), we get a palindrome (30244203).

The spelling of 30204000 in words is "thirty million, two hundred four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 839 900 1000 1125 1200 1440 1500 1678 1800 2000 2250 2400 2517 3000 3356 3600 4000 4195 4500 5034 6000 6712 7200 7551 8390 9000 10068 12000 12585 13424 15102 16780 18000 20136 20975 25170 26848 30204 33560 36000 37755 40272 41950 50340 60408 62925 67120 75510 80544 83900 100680 104875 120816 125850 134240 151020 167800 188775 201360 209750 241632 251700 302040 314625 335600 377550 402720 419500 503400 604080 629250 671200 755100 839000 943875 1006800 1208160 1258500 1510200 1678000 1887750 2013600 2517000 3020400 3356000 3775500 5034000 6040800 7551000 10068000 15102000 30204000