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20528172 = 2232729532
BaseRepresentation
bin100111001001…
…1110000101100
31102121221100200
41032103300230
520223400142
62011553500
7336325620
oct116236054
942557320
1020528172
1110651135
126a5b890
134339962
142a25180
151c0764c
hex1393c2c

20528172 has 108 divisors (see below), whose sum is σ = 62527920. Its totient is φ = 5556096.

The previous prime is 20528171. The next prime is 20528203. The reversal of 20528172 is 27182502.

It is a super-3 number, since 3×205281723 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20528171) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 387298 + ... + 387350.

Almost surely, 220528172 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 20528172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31263960).

20528172 is an abundant number, since it is smaller than the sum of its proper divisors (41999748).

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

20528172 is a wasteful number, since it uses less digits than its factorization.

20528172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20528172 is about 4530.8025779105. The cubic root of 20528172 is about 273.8104964190.

The spelling of 20528172 in words is "twenty million, five hundred twenty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 53 58 63 84 87 106 116 126 159 174 203 212 252 261 318 348 371 406 477 522 609 636 742 812 954 1044 1113 1218 1484 1537 1827 1908 2226 2436 2809 3074 3339 3654 4452 4611 5618 6148 6678 7308 8427 9222 10759 11236 13356 13833 16854 18444 19663 21518 25281 27666 32277 33708 39326 43036 50562 55332 58989 64554 78652 81461 96831 101124 117978 129108 162922 176967 193662 235956 244383 325844 353934 387324 488766 570227 707868 733149 977532 1140454 1466298 1710681 2280908 2932596 3421362 5132043 6842724 10264086 20528172