Search a number
-
+
30055300 = 22521189307
BaseRepresentation
bin111001010100…
…1101110000100
32002112222010021
41302221232010
530143232200
62552104524
7513315532
oct162515604
962488107
1030055300
1115a68aa0
12a095144
1362c4202
143dc5152
15298a41a
hex1ca9b84

30055300 has 72 divisors (see below), whose sum is σ = 72182880. Its totient is φ = 10771200.

The previous prime is 30055279. The next prime is 30055309. The reversal of 30055300 is 355003.

30055300 = T31 + T32 + ... + T564.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30055309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97747 + ... + 98053.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 230055300 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 30055300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36091440).

30055300 is an abundant number, since it is smaller than the sum of its proper divisors (42127580).

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

30055300 is a wasteful number, since it uses less digits than its factorization.

30055300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 30055300 is about 5482.2714270638. The cubic root of 30055300 is about 310.9140555794.

The spelling of 30055300 in words is "thirty million, fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 307 356 445 550 614 890 979 1100 1228 1535 1780 1958 2225 3070 3377 3916 4450 4895 6140 6754 7675 8900 9790 13508 15350 16885 19580 24475 27323 30700 33770 48950 54646 67540 84425 97900 109292 136615 168850 273230 300553 337700 546460 601106 683075 1202212 1366150 1502765 2732300 3005530 6011060 7513825 15027650 30055300