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21241632 = 2531731279
BaseRepresentation
bin101000100000…
…1111100100000
31110222012001010
41101001330200
520414213012
62035140520
7345356646
oct121017440
943865033
1021241632
1110a99175
127144740
134529619
142b6d196
151ce8c3c
hex1441f20

21241632 has 48 divisors (see below), whose sum is σ = 56125440. Its totient is φ = 7034112.

The previous prime is 21241631. The next prime is 21241643. The reversal of 21241632 is 23614212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21241599 and 21241608.

It is not an unprimeable number, because it can be changed into a prime (21241631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15969 + ... + 17247.

It is an arithmetic number, because the mean of its divisors is an integer number (1169280).

Almost surely, 221241632 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 21241632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062720).

21241632 is an abundant number, since it is smaller than the sum of its proper divisors (34883808).

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

21241632 is a wasteful number, since it uses less digits than its factorization.

21241632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1457 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 21241632 is about 4608.8645022391. The cubic root of 21241632 is about 276.9465505268.

Adding to 21241632 its reverse (23614212), we get a palindrome (44855844).

The spelling of 21241632 in words is "twenty-one million, two hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1279 1384 2076 2558 2768 3837 4152 5116 5536 7674 8304 10232 15348 16608 20464 30696 40928 61392 122784 221267 442534 663801 885068 1327602 1770136 2655204 3540272 5310408 7080544 10620816 21241632