Search a number
-
+
3110302020 = 223577439967
BaseRepresentation
bin1011100101100011…
…0111000101000100
322000202120201021010
42321120313011010
522332214131040
61232344322220
7140035062630
oct27130670504
98022521233
103110302020
111356758a41
12729773370
133a74c41c7
14217119dc0
151330d0e80
hexb9637144

3110302020 has 96 divisors (see below), whose sum is σ = 9967362048. Its totient is φ = 709898112.

The previous prime is 3110302007. The next prime is 3110302051. The reversal of 3110302020 is 202030113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3110301987 and 3110302005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307077 + ... + 317043.

It is an arithmetic number, because the mean of its divisors is an integer number (103826688).

Almost surely, 23110302020 is an apocalyptic number.

3110302020 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 3110302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983681024).

3110302020 is an abundant number, since it is smaller than the sum of its proper divisors (6857060028).

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

3110302020 is a wasteful number, since it uses less digits than its factorization.

3110302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10727 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3110302020 is about 55770.0817643295. The cubic root of 3110302020 is about 1459.7131512522.

Adding to 3110302020 its reverse (202030113), we get a palindrome (3312332133).

The spelling of 3110302020 in words is "three billion, one hundred ten million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 743 1486 2229 2972 3715 4458 5201 7430 8916 9967 10402 11145 14860 15603 19934 20804 22290 26005 29901 31206 39868 44580 49835 52010 59802 62412 69769 78015 99670 104020 119604 139538 149505 156030 199340 209307 279076 299010 312060 348845 418614 598020 697690 837228 1046535 1395380 2093070 4186140 7405481 14810962 22216443 29621924 37027405 44432886 51838367 74054810 88865772 103676734 111082215 148109620 155515101 207353468 222164430 259191835 311030202 444328860 518383670 622060404 777575505 1036767340 1555151010 3110302020