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8468420 = 225432229
BaseRepresentation
bin100000010011…
…011111000100
3120221020111012
4200103133010
54131442140
6501301352
7131660162
oct40233704
916836435
108468420
1148644a4
122a04858
1319a66cc
1411a6232
15b24265
hex8137c4

8468420 has 36 divisors (see below), whose sum is σ = 18286380. Its totient is φ = 3294144.

The previous prime is 8468419. The next prime is 8468429. The reversal of 8468420 is 248648.

It can be written as a sum of positive squares in 2 ways, for example, as 5798464 + 2669956 = 2408^2 + 1634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8468429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36866 + ... + 37094.

It is an arithmetic number, because the mean of its divisors is an integer number (507955).

Almost surely, 28468420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8468420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143190).

8468420 is an abundant number, since it is smaller than the sum of its proper divisors (9817960).

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

8468420 is a wasteful number, since it uses less digits than its factorization.

8468420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 8468420 is about 2910.0549822984. The cubic root of 8468420 is about 203.8296989575.

It can be divided in two parts, 8468 and 420, that added together give a palindrome (8888).

The spelling of 8468420 in words is "eight million, four hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 229 430 458 860 916 1145 1849 2290 3698 4580 7396 9245 9847 18490 19694 36980 39388 49235 98470 196940 423421 846842 1693684 2117105 4234210 8468420