[go: up one dir, main page]

Search a number
-
+
30084780 = 22351179577
BaseRepresentation
bin111001011000…
…0111010101100
32002121110120010
41302300322230
530200203110
62552453220
7513500505
oct162607254
962543503
1030084780
1115a89160
12a0aa210
13630475b
143dd1bac
152994020
hex1cb0eac

30084780 has 96 divisors (see below), whose sum is σ = 93219840. Its totient is φ = 7188480.

The previous prime is 30084779. The next prime is 30084793. The reversal of 30084780 is 8748003.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 51852 + ... + 52428.

It is an arithmetic number, because the mean of its divisors is an integer number (971040).

Almost surely, 230084780 is an apocalyptic number.

30084780 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 30084780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46609920).

30084780 is an abundant number, since it is smaller than the sum of its proper divisors (63135060).

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

30084780 is a wasteful number, since it uses less digits than its factorization.

30084780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 30084780 is about 5484.9594346722. The cubic root of 30084780 is about 311.0156766049.

The spelling of 30084780 in words is "thirty million, eighty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 577 660 790 869 948 1154 1185 1580 1731 1738 2308 2370 2607 2885 3462 3476 4345 4740 5214 5770 6347 6924 8655 8690 10428 11540 12694 13035 17310 17380 19041 25388 26070 31735 34620 38082 45583 52140 63470 76164 91166 95205 126940 136749 182332 190410 227915 273498 380820 455830 501413 546996 683745 911660 1002826 1367490 1504239 2005652 2507065 2734980 3008478 5014130 6016956 7521195 10028260 15042390 30084780