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20209644 = 223271331199
BaseRepresentation
bin100110100010…
…1111111101100
31102000202102100
41031011333230
520133202034
62001055100
7333531150
oct115057754
942022370
1020209644
1110453894
126927490
134257990
142981060
151b93099
hex1345fec

20209644 has 144 divisors (see below), whose sum is σ = 65228800. Its totient is φ = 5132160.

The previous prime is 20209633. The next prime is 20209649. The reversal of 20209644 is 44690202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20209649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101457 + ... + 101655.

Almost surely, 220209644 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 20209644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32614400).

20209644 is an abundant number, since it is smaller than the sum of its proper divisors (45019156).

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

20209644 is a wasteful number, since it uses less digits than its factorization.

20209644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20209644 is about 4495.5137637427. The cubic root of 20209644 is about 272.3869025381.

Adding to 20209644 its reverse (44690202), we get a palindrome (64899846).

It can be divided in two parts, 2020 and 9644, that added together give a square (11664 = 1082).

The spelling of 20209644 in words is "twenty million, two hundred nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 199 217 234 252 273 279 364 372 398 403 434 468 546 558 597 651 796 806 819 868 1092 1116 1194 1209 1302 1393 1612 1638 1791 1953 2388 2418 2587 2604 2786 2821 3276 3582 3627 3906 4179 4836 5174 5572 5642 6169 7164 7254 7761 7812 8358 8463 10348 11284 12338 12537 14508 15522 16716 16926 18109 18507 23283 24676 25074 25389 31044 33852 36218 37014 43183 46566 50148 50778 54327 55521 72436 74028 80197 86366 93132 101556 108654 111042 129549 160394 162981 172732 217308 222084 240591 259098 320788 325962 388647 481182 518196 561379 651924 721773 777294 962364 1122758 1443546 1554588 1684137 2245516 2887092 3368274 5052411 6736548 10104822 20209644