Search a number
-
+
10632020 = 2257219571
BaseRepresentation
bin101000100011…
…101101010100
3202000011101112
4220203231110
510210211040
61015514152
7156241100
oct50435524
922004345
1010632020
116001aa3
123688958
132283449
1415aa900
15e00365
hexa23b54

10632020 has 72 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 3447360.

The previous prime is 10632019. The next prime is 10632031. The reversal of 10632020 is 2023601.

It is a super-2 number, since 2×106320202 = 226079698560800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10631986 and 10632004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18335 + ... + 18905.

It is an arithmetic number, because the mean of its divisors is an integer number (380380).

Almost surely, 210632020 is an apocalyptic number.

10632020 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 10632020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693680).

10632020 is an abundant number, since it is smaller than the sum of its proper divisors (16755340).

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

10632020 is a wasteful number, since it uses less digits than its factorization.

10632020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 10632020 is about 3260.6778436393. The cubic root of 10632020 is about 219.8898898025.

Adding to 10632020 its reverse (2023601), we get a palindrome (12655621).

The spelling of 10632020 in words is "ten million, six hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 571 665 931 980 1142 1330 1862 2284 2660 2855 3724 3997 4655 5710 7994 9310 10849 11420 15988 18620 19985 21698 27979 39970 43396 54245 55958 75943 79940 108490 111916 139895 151886 216980 279790 303772 379715 531601 559580 759430 1063202 1518860 2126404 2658005 5316010 10632020