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3009780 = 2232523727
BaseRepresentation
bin1011011110110011110100
312122220122100
423132303310
51232303110
6144302100
734403604
oct13366364
95586570
103009780
111776324
121011930
13814c47
14584c04
153e6bc0
hex2decf4

3009780 has 72 divisors (see below), whose sum is σ = 9539712. Its totient is φ = 766656.

The previous prime is 3009779. The next prime is 3009781. The reversal of 3009780 is 879003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3009779) and next prime (3009781).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009781) 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, 3777 + ... + 4503.

It is an arithmetic number, because the mean of its divisors is an integer number (132496).

Almost surely, 23009780 is an apocalyptic number.

3009780 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 3009780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769856).

3009780 is an abundant number, since it is smaller than the sum of its proper divisors (6529932).

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

3009780 is a wasteful number, since it uses less digits than its factorization.

3009780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3009780 is about 1734.8717531852. The cubic root of 3009780 is about 144.3815114846.

The spelling of 3009780 in words is "three million, nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 727 828 1035 1380 1454 2070 2181 2908 3635 4140 4362 6543 7270 8724 10905 13086 14540 16721 21810 26172 32715 33442 43620 50163 65430 66884 83605 100326 130860 150489 167210 200652 250815 300978 334420 501630 601956 752445 1003260 1504890 3009780