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20935044 = 22331323137
BaseRepresentation
bin100111111011…
…1000110000100
31110101121111000
41033313012010
520324410134
62024413300
7342642054
oct117670604
943347430
1020935044
11108a9899
127017230
13444cc00
142acd564
151c87e99
hex13f7184

20935044 has 144 divisors (see below), whose sum is σ = 62307840. Its totient is φ = 6065280.

The previous prime is 20935043. The next prime is 20935049. The reversal of 20935044 is 44053902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 20934999 and 20935017.

It is not an unprimeable number, because it can be changed into a prime (20935043) 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 47 ways as a sum of consecutive naturals, for example, 565794 + ... + 565830.

Almost surely, 220935044 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 20935044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31153920).

20935044 is an abundant number, since it is smaller than the sum of its proper divisors (41372796).

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

20935044 is a wasteful number, since it uses less digits than its factorization.

20935044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20935044 is about 4575.4829253315. The cubic root of 20935044 is about 275.6076656228.

Adding to 20935044 its reverse (44053902), we get a palindrome (64988946).

It can be divided in two parts, 209 and 35044, that added together give a palindrome (35253).

The spelling of 20935044 in words is "twenty million, nine hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 37 39 52 54 62 74 78 93 108 111 117 124 148 156 169 186 222 234 279 333 338 351 372 403 444 468 481 507 558 666 676 702 806 837 962 999 1014 1116 1147 1209 1332 1404 1443 1521 1612 1674 1924 1998 2028 2294 2418 2886 3042 3348 3441 3627 3996 4329 4563 4588 4836 5239 5772 6084 6253 6882 7254 8658 9126 10323 10478 10881 12506 12987 13764 14508 14911 15717 17316 18252 18759 20646 20956 21762 25012 25974 29822 30969 31434 37518 41292 43524 44733 47151 51948 56277 59644 61938 62868 75036 89466 94302 112554 123876 134199 141453 168831 178932 188604 193843 225108 268398 282906 337662 387686 402597 536796 565812 581529 675324 775372 805194 1163058 1610388 1744587 2326116 3489174 5233761 6978348 10467522 20935044