Search a number
-
+
20944704 = 2631147211
BaseRepresentation
bin100111111100…
…1011101000000
31110102002201210
41033321131000
520330212304
62024530120
7343012164
oct117713500
943362653
1020944704
1110906080
127020940
134454421
142ad2ca4
151c8ac89
hex13f9740

20944704 has 112 divisors (see below), whose sum is σ = 62032896. Its totient is φ = 6182400.

The previous prime is 20944691. The next prime is 20944709. The reversal of 20944704 is 40744902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20944709) 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, 99159 + ... + 99369.

Almost surely, 220944704 is an apocalyptic number.

20944704 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 20944704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31016448).

20944704 is an abundant number, since it is smaller than the sum of its proper divisors (41088192).

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

20944704 is a wasteful number, since it uses less digits than its factorization.

20944704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20944704 is about 4576.5384298616. The cubic root of 20944704 is about 275.6500500677.

The spelling of 20944704 in words is "twenty million, nine hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 132 141 176 188 192 211 264 282 352 376 422 517 528 564 633 704 752 844 1034 1056 1128 1266 1504 1551 1688 2068 2112 2256 2321 2532 3008 3102 3376 4136 4512 4642 5064 6204 6752 6963 8272 9024 9284 9917 10128 12408 13504 13926 16544 18568 19834 20256 24816 27852 29751 33088 37136 39668 40512 49632 55704 59502 74272 79336 99264 109087 111408 119004 148544 158672 218174 222816 238008 317344 327261 436348 445632 476016 634688 654522 872696 952032 1309044 1745392 1904064 2618088 3490784 5236176 6981568 10472352 20944704