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3020580 = 2232597173
BaseRepresentation
bin1011100001011100100100
312200110110100
423201130210
51233124310
6144424100
734450233
oct13413444
95613410
103020580
111783452
121018030
13819b34
14588b1a
153e9ec0
hex2e1724

3020580 has 72 divisors (see below), whose sum is σ = 9310392. Its totient is φ = 792576.

The previous prime is 3020579. The next prime is 3020581. The reversal of 3020580 is 850203.

It is an interprime number because it is at equal distance from previous prime (3020579) and next prime (3020581).

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 2232036 = 888^2 + 1494^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3020581) 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, 17374 + ... + 17546.

It is an arithmetic number, because the mean of its divisors is an integer number (129311).

Almost surely, 23020580 is an apocalyptic number.

3020580 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 3020580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655196).

3020580 is an abundant number, since it is smaller than the sum of its proper divisors (6289812).

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

3020580 is a wasteful number, since it uses less digits than its factorization.

3020580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3020580 is about 1737.9815879347. The cubic root of 3020580 is about 144.5540001636.

Adding to 3020580 its reverse (850203), we get a palindrome (3870783).

It can be divided in two parts, 3020 and 580, that added together give a square (3600 = 602).

The spelling of 3020580 in words is "three million, twenty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 173 180 194 291 346 388 485 519 582 692 865 873 970 1038 1164 1455 1557 1730 1746 1940 2076 2595 2910 3114 3460 3492 4365 5190 5820 6228 7785 8730 10380 15570 16781 17460 31140 33562 50343 67124 83905 100686 151029 167810 201372 251715 302058 335620 503430 604116 755145 1006860 1510290 3020580