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20052864 = 2732132103
BaseRepresentation
bin100110001111…
…1101110000000
31101201210100200
41030133232000
520113142424
61553445200
7332306106
oct114375600
941653320
1020052864
1110357017
126870800
134201500
14293dc76
151b618c9
hex131fb80

20052864 has 144 divisors (see below), whose sum is σ = 63091080. Its totient is φ = 6110208.

The previous prime is 20052821. The next prime is 20052869. The reversal of 20052864 is 46825002.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20052869) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194637 + ... + 194739.

Almost surely, 220052864 is an apocalyptic number.

20052864 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 20052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31545540).

20052864 is an abundant number, since it is smaller than the sum of its proper divisors (43038216).

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

20052864 is a wasteful number, since it uses less digits than its factorization.

20052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20052864 is about 4478.0424294551. The cubic root of 20052864 is about 271.6807095421.

Adding to 20052864 its reverse (46825002), we get a palindrome (66877866).

The spelling of 20052864 in words is "twenty million, fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 103 104 117 128 144 156 169 192 206 208 234 288 309 312 338 384 412 416 468 507 576 618 624 676 824 832 927 936 1014 1152 1236 1248 1339 1352 1521 1648 1664 1854 1872 2028 2472 2496 2678 2704 3042 3296 3708 3744 4017 4056 4944 4992 5356 5408 6084 6592 7416 7488 8034 8112 9888 10712 10816 12051 12168 13184 14832 14976 16068 16224 17407 19776 21424 21632 24102 24336 29664 32136 32448 34814 39552 42848 48204 48672 52221 59328 64272 64896 69628 85696 96408 97344 104442 118656 128544 139256 156663 171392 192816 194688 208884 257088 278512 313326 385632 417768 514176 557024 626652 771264 835536 1114048 1253304 1542528 1671072 2228096 2506608 3342144 5013216 6684288 10026432 20052864