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21941000 = 235337593
BaseRepresentation
bin101001110110…
…0101100001000
31112021201101122
41103230230020
521104103000
62102134412
7354331634
oct123545410
945251348
1021941000
1111426664
127421408
134712a53
142cb1dc4
151dd6085
hex14ecb08

21941000 has 64 divisors (see below), whose sum is σ = 52818480. Its totient is φ = 8524800.

The previous prime is 21940981. The next prime is 21941021. The reversal of 21941000 is 14912.

21941000 = T137 + T138 + ... + T511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4418404 + 17522596 = 2102^2 + 4186^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21941000.

It is an unprimeable number.

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, 36704 + ... + 37296.

Almost surely, 221941000 is an apocalyptic number.

21941000 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 21941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26409240).

21941000 is an abundant number, since it is smaller than the sum of its proper divisors (30877480).

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

21941000 is a wasteful number, since it uses less digits than its factorization.

21941000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 21941000 is about 4684.1221162562. The cubic root of 21941000 is about 279.9532234785.

Adding to 21941000 its reverse (14912), we get a palindrome (21955912).

The spelling of 21941000 in words is "twenty-one million, nine hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 593 740 925 1000 1186 1480 1850 2372 2965 3700 4625 4744 5930 7400 9250 11860 14825 18500 21941 23720 29650 37000 43882 59300 74125 87764 109705 118600 148250 175528 219410 296500 438820 548525 593000 877640 1097050 2194100 2742625 4388200 5485250 10970500 21941000