Search a number
-
+
30558060 = 22345131451
BaseRepresentation
bin111010010010…
…0011101101100
32010111111210000
41310210131230
530310324220
63010544300
7520511361
oct164443554
963444700
1030558060
11162817a5
12a298090
13643bcc0
1440b6468
152a39390
hex1d2476c

30558060 has 120 divisors (see below), whose sum is σ = 103306896. Its totient is φ = 7516800.

The previous prime is 30558013. The next prime is 30558113. The reversal of 30558060 is 6085503.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 20335 + ... + 21785.

Almost surely, 230558060 is an apocalyptic number.

30558060 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 30558060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51653448).

30558060 is an abundant number, since it is smaller than the sum of its proper divisors (72748836).

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

30558060 is a wasteful number, since it uses less digits than its factorization.

30558060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 30558060 is about 5527.9345148075. The cubic root of 30558060 is about 312.6381170801.

The spelling of 30558060 in words is "thirty million, five hundred fifty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1451 1620 1755 2106 2340 2902 3510 4212 4353 5265 5804 7020 7255 8706 10530 13059 14510 17412 18863 21060 21765 26118 29020 37726 39177 43530 52236 56589 65295 75452 78354 87060 94315 113178 117531 130590 156708 169767 188630 195885 226356 235062 261180 282945 339534 377260 391770 470124 509301 565890 587655 679068 783540 848835 1018602 1131780 1175310 1527903 1697670 2037204 2350620 2546505 3055806 3395340 5093010 6111612 7639515 10186020 15279030 30558060