Search a number
-
+
20028528 = 2432132823
BaseRepresentation
bin100110001100…
…1110001110000
31101200112222100
41030121301300
520111403103
61553140400
7332145132
oct114316160
941615870
1020028528
111033a803
12685a700
1341c3400
142935052
151b595a3
hex1319c70

20028528 has 90 divisors (see below), whose sum is σ = 60769176. Its totient is φ = 6155136.

The previous prime is 20028523. The next prime is 20028529. The reversal of 20028528 is 82582002.

It is a super-2 number, since 2×200285282 = 802283867693568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20028521) 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 17 ways as a sum of consecutive naturals, for example, 23925 + ... + 24747.

Almost surely, 220028528 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 20028528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30384588).

20028528 is an abundant number, since it is smaller than the sum of its proper divisors (40740648).

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

20028528 is a wasteful number, since it uses less digits than its factorization.

20028528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20028528 is about 4475.3243457877. The cubic root of 20028528 is about 271.5707618532.

The spelling of 20028528 in words is "twenty million, twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 823 936 1014 1352 1521 1646 1872 2028 2469 2704 3042 3292 4056 4938 6084 6584 7407 8112 9876 10699 12168 13168 14814 19752 21398 24336 29628 32097 39504 42796 59256 64194 85592 96291 118512 128388 139087 171184 192582 256776 278174 385164 417261 513552 556348 770328 834522 1112696 1251783 1540656 1669044 2225392 2503566 3338088 5007132 6676176 10014264 20028528