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20211000 = 233536737
BaseRepresentation
bin100110100011…
…0010100111000
31102000211021120
41031012110320
520133223000
62001105240
7333535125
oct115062470
942024246
1020211000
1110454907
126928220
134258494
14298174c
151b936a0
hex1346538

20211000 has 64 divisors (see below), whose sum is σ = 63067680. Its totient is φ = 5388800.

The previous prime is 20210963. The next prime is 20211001. The reversal of 20211000 is 11202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 20211000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369 + ... + 6368.

Almost surely, 220211000 is an apocalyptic number.

20211000 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 20211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31533840).

20211000 is an abundant number, since it is smaller than the sum of its proper divisors (42856680).

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

20211000 is a wasteful number, since it uses less digits than its factorization.

20211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 20211000 is about 4495.6645782353. The cubic root of 20211000 is about 272.3929944873.

Adding to 20211000 its reverse (11202), we get a palindrome (20222202).

The spelling of 20211000 in words is "twenty million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6737 13474 20211 26948 33685 40422 53896 67370 80844 101055 134740 161688 168425 202110 269480 336850 404220 505275 673700 808440 842125 1010550 1347400 1684250 2021100 2526375 3368500 4042200 5052750 6737000 10105500 20211000