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20332728 = 2333132557
BaseRepresentation
bin100110110010…
…0000010111000
31102021000021000
41031210002320
520201121403
62003445000
7334553043
oct115440270
942230230
1020332728
1110528309
126986760
13429ba00
1429b3c5a
151bb97a3
hex13640b8

20332728 has 96 divisors (see below), whose sum is σ = 61268400. Its totient is φ = 6244992.

The previous prime is 20332727. The next prime is 20332733. The reversal of 20332728 is 82723302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36226 + ... + 36782.

Almost surely, 220332728 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 20332728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30634200).

20332728 is an abundant number, since it is smaller than the sum of its proper divisors (40935672).

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

20332728 is a wasteful number, since it uses less digits than its factorization.

20332728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20332728 is about 4509.1826310319. The cubic root of 20332728 is about 272.9387617745.

It can be divided in two parts, 2033 and 2728, that added together give a square (4761 = 692).

The spelling of 20332728 in words is "twenty million, three hundred thirty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 557 676 702 936 1014 1114 1352 1404 1521 1671 2028 2228 2808 3042 3342 4056 4456 4563 5013 6084 6684 7241 9126 10026 12168 13368 14482 15039 18252 20052 21723 28964 30078 36504 40104 43446 57928 60156 65169 86892 94133 120312 130338 173784 188266 195507 260676 282399 376532 391014 521352 564798 753064 782028 847197 1129596 1564056 1694394 2259192 2541591 3388788 5083182 6777576 10166364 20332728