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20440896 = 263767227
BaseRepresentation
bin100110111111…
…0011101000000
31102110111122020
41031332131000
520213102041
62010041440
7335513310
oct115763500
942414566
1020440896
11105a1603
126a19280
134309008
142a01440
151bdb866
hex137e740

20440896 has 112 divisors (see below), whose sum is σ = 63008256. Its totient is φ = 5727744.

The previous prime is 20440891. The next prime is 20440913. The reversal of 20440896 is 69804402.

20440896 = T49 + T50 + ... + T496.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440891) 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, 89935 + ... + 90161.

Almost surely, 220440896 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 20440896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31504128).

20440896 is an abundant number, since it is smaller than the sum of its proper divisors (42567360).

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

20440896 is a wasteful number, since it uses less digits than its factorization.

20440896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20440896 is about 4521.1609128630. The cubic root of 20440896 is about 273.4219079719.

The spelling of 20440896 in words is "twenty million, four hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 134 168 192 201 224 227 268 336 402 448 454 469 536 672 681 804 908 938 1072 1344 1362 1407 1589 1608 1816 1876 2144 2724 2814 3178 3216 3632 3752 4288 4767 5448 5628 6356 6432 7264 7504 9534 10896 11256 12712 12864 14528 15008 15209 19068 21792 22512 25424 30016 30418 38136 43584 45024 45627 50848 60836 76272 90048 91254 101696 106463 121672 152544 182508 212926 243344 305088 319389 365016 425852 486688 638778 730032 851704 973376 1277556 1460064 1703408 2555112 2920128 3406816 5110224 6813632 10220448 20440896