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30005780 = 2257792713
BaseRepresentation
bin111001001110…
…1101000010100
32002110110012012
41302131220110
530140141110
62551043352
7513021260
oct162355024
962413165
1030005780
1115a34872
12a070558
1362a77cc
143db10a0
15297a905
hex1c9da14

30005780 has 48 divisors (see below), whose sum is σ = 72952320. Its totient is φ = 10153728.

The previous prime is 30005753. The next prime is 30005797. The reversal of 30005780 is 8750003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9704 + ... + 12416.

It is an arithmetic number, because the mean of its divisors is an integer number (1519840).

Almost surely, 230005780 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 30005780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36476160).

30005780 is an abundant number, since it is smaller than the sum of its proper divisors (42946540).

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

30005780 is a wasteful number, since it uses less digits than its factorization.

30005780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 30005780 is about 5477.7531890365. The cubic root of 30005780 is about 310.7432046516.

Adding to 30005780 its reverse (8750003), we get a palindrome (38755783).

The spelling of 30005780 in words is "thirty million, five thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2713 2765 5426 5530 10852 11060 13565 18991 27130 37982 54260 75964 94955 189910 214327 379820 428654 857308 1071635 1500289 2143270 3000578 4286540 6001156 7501445 15002890 30005780