Search a number
-
+
3097987020 = 223357180803
BaseRepresentation
bin1011100010100111…
…1000011111001100
321222220102001021000
42320221320133030
522321041041040
61231224340300
7136525312062
oct27051703714
97886361230
103097987020
11134a807557
12725614690
133a4aa1a1b
14215632032
15131e9c130
hexb8a787cc

3097987020 has 96 divisors (see below), whose sum is σ = 9774051840. Its totient is φ = 814484160.

The previous prime is 3097986979. The next prime is 3097987021. The reversal of 3097987020 is 207897903.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3097987021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2062 + ... + 78741.

It is an arithmetic number, because the mean of its divisors is an integer number (101813040).

Almost surely, 23097987020 is an apocalyptic number.

3097987020 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 3097987020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887025920).

3097987020 is an abundant number, since it is smaller than the sum of its proper divisors (6676064820).

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

3097987020 is a wasteful number, since it uses less digits than its factorization.

3097987020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80892 (or 80884 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 3097987020 is about 55659.5635987204. The cubic root of 3097987020 is about 1457.7840625857.

The spelling of 3097987020 in words is "three billion, ninety-seven million, nine hundred eighty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 38340 80803 161606 242409 323212 404015 484818 727227 808030 969636 1212045 1454454 1616060 2181681 2424090 2908908 3636135 4363362 4848180 5737013 7272270 8726724 10908405 11474026 14544540 17211039 21816810 22948052 28685065 34422078 43633620 51633117 57370130 68844156 86055195 103266234 114740260 154899351 172110390 206532468 258165585 309798702 344220780 516331170 619597404 774496755 1032662340 1548993510 3097987020