Search a number
-
+
3020552000 = 2653419209
BaseRepresentation
bin1011010000001001…
…1111011101000000
321210111200221101022
42310002133131000
522141230131000
61215420525012
7134565161024
oct26402373500
97714627338
103020552000
111310028474
127036b0768
13391a2bc9b
14209236384
1512a2a3585
hexb409f740

3020552000 has 112 divisors (see below), whose sum is σ = 7663677840. Its totient is φ = 1178624000.

The previous prime is 3020551997. The next prime is 3020552021. The reversal of 3020552000 is 2550203.

It can be written as a sum of positive squares in 8 ways, for example, as 2349534784 + 671017216 = 48472^2 + 25904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3020552000.

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, 323396 + ... + 332604.

It is an arithmetic number, because the mean of its divisors is an integer number (68425695).

Almost surely, 23020552000 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 3020552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831838920).

3020552000 is an abundant number, since it is smaller than the sum of its proper divisors (4643125840).

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

3020552000 is an equidigital number, since it uses as much as digits as its factorization.

3020552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9277 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 3020552000 is about 54959.5487608841. The cubic root of 3020552000 is about 1445.5355350276.

The spelling of 3020552000 in words is "three billion, twenty million, five hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 160 164 200 205 250 320 328 400 410 500 656 800 820 1000 1025 1312 1600 1640 2000 2050 2624 3280 4000 4100 5125 6560 8000 8200 9209 10250 13120 16400 18418 20500 32800 36836 41000 46045 65600 73672 82000 92090 147344 164000 184180 230225 294688 328000 368360 377569 460450 589376 736720 755138 920900 1151125 1473440 1510276 1841800 1887845 2302250 2946880 3020552 3683600 3775690 4604500 6041104 7367200 7551380 9209000 9439225 12082208 14734400 15102760 18418000 18878450 24164416 30205520 36836000 37756900 47196125 60411040 73672000 75513800 94392250 120822080 151027600 188784500 302055200 377569000 604110400 755138000 1510276000 3020552000