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20350044 = 223211135967
BaseRepresentation
bin100110110100…
…0010001011100
31102021220000100
41031220101130
520202200134
62004101100
7334654401
oct115502134
942256010
1020350044
111053a320
126994790
1342a6860
1429ba2a8
151bbe999
hex136845c

20350044 has 144 divisors (see below), whose sum is σ = 62375040. Its totient is φ = 5512320.

The previous prime is 20349997. The next prime is 20350049. The reversal of 20350044 is 44005302.

20350044 = 373 + 383 + ... + 953.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20349999 and 20350026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20350049) 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 47 ways as a sum of consecutive naturals, for example, 303699 + ... + 303765.

It is an arithmetic number, because the mean of its divisors is an integer number (433160).

Almost surely, 220350044 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 20350044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).

20350044 is an abundant number, since it is smaller than the sum of its proper divisors (42024996).

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

20350044 is a wasteful number, since it uses less digits than its factorization.

20350044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20350044 is about 4511.1023043154. The cubic root of 20350044 is about 273.0162209095.

Adding to 20350044 its reverse (44005302), we get a palindrome (64355346).

The spelling of 20350044 in words is "twenty million, three hundred fifty thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 59 66 67 78 99 117 118 132 134 143 156 177 198 201 234 236 268 286 354 396 402 429 468 531 572 603 649 708 737 767 804 858 871 1062 1206 1287 1298 1474 1534 1716 1742 1947 2124 2211 2301 2412 2574 2596 2613 2948 3068 3484 3894 3953 4422 4602 5148 5226 5841 6633 6903 7788 7839 7906 8437 8844 9204 9581 10452 11682 11859 13266 13806 15678 15812 16874 19162 23364 23718 25311 26532 27612 28743 31356 33748 35577 38324 43483 47436 50622 51389 57486 71154 75933 86229 86966 101244 102778 114972 130449 142308 151866 154167 172458 173932 205556 260898 303732 308334 344916 391347 462501 521796 565279 616668 782694 925002 1130558 1565388 1695837 1850004 2261116 3391674 5087511 6783348 10175022 20350044