Search a number
-
+
10455452020 = 22513222713627
BaseRepresentation
bin10011011110011000…
…11000100101110100
3222222122202222211201
421233030120211310
5132403043431040
64445252342244
7520044606256
oct115714304564
928878688751
1010455452020
114485914942
122039614984
13ca8175900
1471283dcd6
15412d76a9a
hex26f318974

10455452020 has 72 divisors (see below), whose sum is σ = 23881816224. Its totient is φ = 3843186048.

The previous prime is 10455452017. The next prime is 10455452023. The reversal of 10455452020 is 2025455401.

10455452020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10455452017) and next prime (10455452023).

It is a self number, because there is not a number n which added to its sum of digits gives 10455452020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10455452023) 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 23 ways as a sum of consecutive naturals, for example, 760447 + ... + 774073.

It is an arithmetic number, because the mean of its divisors is an integer number (331691892).

Almost surely, 210455452020 is an apocalyptic number.

10455452020 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 10455452020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940908112).

10455452020 is an abundant number, since it is smaller than the sum of its proper divisors (13426364204).

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

10455452020 is a wasteful number, since it uses less digits than its factorization.

10455452020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13889 (or 13874 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The spelling of 10455452020 in words is "ten billion, four hundred fifty-five million, four hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 227 260 338 454 676 845 908 1135 1690 2270 2951 3380 4540 5902 11804 13627 14755 27254 29510 38363 54508 59020 68135 76726 136270 153452 177151 191815 272540 354302 383630 708604 767260 885755 1771510 2302963 3093329 3543020 4605926 6186658 9211852 11514815 12373316 15466645 23029630 30933290 40213277 46059260 61866580 80426554 160853108 201066385 402132770 522772601 804265540 1045545202 2091090404 2613863005 5227726010 10455452020