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12823420 = 2252361457
BaseRepresentation
bin110000111010…
…101101111100
3220010111102111
4300322231330
511240322140
61134503404
7213666031
oct60725574
926114374
1012823420
117269475
124364b64
13286ca2c
1419bb388
1511d47ea
hexc3ab7c

12823420 has 48 divisors (see below), whose sum is σ = 28623168. Its totient is φ = 4815360.

The previous prime is 12823411. The next prime is 12823427. The reversal of 12823420 is 2432821.

It is a junction number, because it is equal to n+sod(n) for n = 12823391 and 12823400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27832 + ... + 28288.

It is an arithmetic number, because the mean of its divisors is an integer number (596316).

Almost surely, 212823420 is an apocalyptic number.

12823420 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 12823420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311584).

12823420 is an abundant number, since it is smaller than the sum of its proper divisors (15799748).

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

12823420 is a wasteful number, since it uses less digits than its factorization.

12823420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12823420 is about 3580.9803127077. The cubic root of 12823420 is about 234.0639998317.

The spelling of 12823420 in words is "twelve million, eight hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 457 460 610 914 1220 1403 1828 2285 2806 4570 5612 7015 9140 10511 14030 21022 27877 28060 42044 52555 55754 105110 111508 139385 210220 278770 557540 641171 1282342 2564684 3205855 6411710 12823420