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21909744 = 2433411237
BaseRepresentation
bin101001110010…
…1000011110000
31112020010112000
41103211003300
521102102434
62101334000
7354141543
oct123450360
945203460
1021909744
111140512a
127407300
13470175c
142ca485a
151dcbb99
hex14e50f0

21909744 has 80 divisors (see below), whose sum is σ = 64475040. Its totient is φ = 7119360.

The previous prime is 21909743. The next prime is 21909799. The reversal of 21909744 is 44790912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21909699 and 21909708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21909743) 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, 17094 + ... + 18330.

It is an arithmetic number, because the mean of its divisors is an integer number (805938).

Almost surely, 221909744 is an apocalyptic number.

21909744 is a gapful number since it is divisible by the number (24) 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 21909744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32237520).

21909744 is an abundant number, since it is smaller than the sum of its proper divisors (42565296).

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

21909744 is a wasteful number, since it uses less digits than its factorization.

21909744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21909744 is about 4680.7845496241. The cubic root of 21909744 is about 279.8202247352.

The spelling of 21909744 in words is "twenty-one million, nine hundred nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1237 1476 1968 2214 2474 2952 3711 4428 4948 5904 7422 8856 9896 11133 14844 17712 19792 22266 29688 33399 44532 50717 59376 66798 89064 101434 133596 152151 178128 202868 267192 304302 405736 456453 534384 608604 811472 912906 1217208 1369359 1825812 2434416 2738718 3651624 5477436 7303248 10954872 21909744