Search a number
-
+
10312020 = 2232559971
BaseRepresentation
bin100111010101…
…100101010100
3201101220102200
4213111211110
510114441040
61005004500
7153436125
oct47254524
921356380
1010312020
115903634
123553730
1321a08b4
14152604c
15d8a630
hex9d5954

10312020 has 72 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 2700480.

The previous prime is 10312007. The next prime is 10312021. The reversal of 10312020 is 2021301.

It is a happy number.

10312020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10311993 and 10312011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312021) 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, 10135 + ... + 11105.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 210312020 is an apocalyptic number.

10312020 is a gapful number since it is divisible by the number (10) 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 10312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

10312020 is an abundant number, since it is smaller than the sum of its proper divisors (21530700).

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

10312020 is a wasteful number, since it uses less digits than its factorization.

10312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10312020 is about 3211.2334078980. The cubic root of 10312020 is about 217.6613151263.

Adding to 10312020 its reverse (2021301), we get a palindrome (12333321).

The spelling of 10312020 in words is "ten million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 971 1062 1180 1770 1942 2124 2655 2913 3540 3884 4855 5310 5826 8739 9710 10620 11652 14565 17478 19420 29130 34956 43695 57289 58260 87390 114578 171867 174780 229156 286445 343734 515601 572890 687468 859335 1031202 1145780 1718670 2062404 2578005 3437340 5156010 10312020