Search a number
-
+
10482920 = 2357291291
BaseRepresentation
bin100111111111…
…010011101000
3201201120212022
4213333103220
510140423140
61012404012
7155050310
oct47772350
921646768
1010482920
115a0aa78
123616608
132230616
14156c440
15dc10b5
hex9ff4e8

10482920 has 64 divisors (see below), whose sum is σ = 27907200. Its totient is φ = 3467520.

The previous prime is 10482919. The next prime is 10482947. The reversal of 10482920 is 2928401.

It is a super-2 number, since 2×104829202 = 219783223452800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10482920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7475 + ... + 8765.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 210482920 is an apocalyptic number.

10482920 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 10482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

10482920 is an abundant number, since it is smaller than the sum of its proper divisors (17424280).

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

10482920 is a wasteful number, since it uses less digits than its factorization.

10482920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10482920 is about 3237.7337753435. The cubic root of 10482920 is about 218.8571589261.

The spelling of 10482920 in words is "ten million, four hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1291 1624 2030 2582 4060 5164 6455 8120 9037 10328 12910 18074 25820 36148 37439 45185 51640 72296 74878 90370 149756 180740 187195 262073 299512 361480 374390 524146 748780 1048292 1310365 1497560 2096584 2620730 5241460 10482920