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19882420 = 2255318757
BaseRepresentation
bin100101111011…
…0000110110100
31101102010112221
41023312012310
520042214140
61550052124
7330666145
oct113660664
941363487
1019882420
111024aa58
1267aa044
134171a5c
1428d7acc
151b2b14a
hex12f61b4

19882420 has 24 divisors (see below), whose sum is σ = 42543144. Its totient is φ = 7802496.

The previous prime is 19882403. The next prime is 19882427. The reversal of 19882420 is 2428891.

It can be written as a sum of positive squares in 4 ways, for example, as 4343056 + 15539364 = 2084^2 + 3942^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19882427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8319 + ... + 10438.

It is an arithmetic number, because the mean of its divisors is an integer number (1772631).

Almost surely, 219882420 is an apocalyptic number.

19882420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19882420 is an abundant number, since it is smaller than the sum of its proper divisors (22660724).

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

19882420 is a wasteful number, since it uses less digits than its factorization.

19882420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18819 (or 18817 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 19882420 is about 4458.9707332522. The cubic root of 19882420 is about 270.9087804532.

It can be divided in two parts, 19882 and 420, that added together give a palindrome (20302).

The spelling of 19882420 in words is "nineteen million, eight hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 18757 37514 75028 93785 187570 375140 994121 1988242 3976484 4970605 9941210 19882420