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21919020 = 22351013617
BaseRepresentation
bin101001110011…
…1010100101100
31112020121020120
41103213110230
521102402040
62101444540
7354210564
oct123472454
945217216
1021919020
11114110a2
127410750
134705a46
142ca7da4
151dce7d0
hex14e752c

21919020 has 48 divisors (see below), whose sum is σ = 61998048. Its totient is φ = 5785600.

The previous prime is 21919019. The next prime is 21919021. The reversal of 21919020 is 2091912.

It is an interprime number because it is at equal distance from previous prime (21919019) and next prime (21919021).

It is not an unprimeable number, because it can be changed into a prime (21919021) 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 15 ways as a sum of consecutive naturals, for example, 4252 + ... + 7868.

It is an arithmetic number, because the mean of its divisors is an integer number (1291626).

Almost surely, 221919020 is an apocalyptic number.

21919020 is a gapful number since it is divisible by the number (20) 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 21919020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30999024).

21919020 is an abundant number, since it is smaller than the sum of its proper divisors (40079028).

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

21919020 is a wasteful number, since it uses less digits than its factorization.

21919020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 21919020 is about 4681.7753043050. The cubic root of 21919020 is about 279.8597086316.

It can be divided in two parts, 2191 and 9020, that added together give a palindrome (11211).

The spelling of 21919020 in words is "twenty-one million, nine hundred nineteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 3617 6060 7234 10851 14468 18085 21702 36170 43404 54255 72340 108510 217020 365317 730634 1095951 1461268 1826585 2191902 3653170 4383804 5479755 7306340 10959510 21919020