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20236272 = 2437229263
BaseRepresentation
bin100110100110…
…0011111110000
31102002002221120
41031030133300
520140030042
62001422240
7334001610
oct115143760
942062846
1020236272
11104718a1
12693a980
134266b34
14298aa40
151b9adec
hex134c7f0

20236272 has 80 divisors (see below), whose sum is σ = 60234240. Its totient is φ = 5734656.

The previous prime is 20236261. The next prime is 20236277. The reversal of 20236272 is 27263202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20236277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76813 + ... + 77075.

It is an arithmetic number, because the mean of its divisors is an integer number (752928).

Almost surely, 220236272 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 20236272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30117120).

20236272 is an abundant number, since it is smaller than the sum of its proper divisors (39997968).

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

20236272 is a wasteful number, since it uses less digits than its factorization.

20236272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20236272 is about 4498.4744080632. The cubic root of 20236272 is about 272.5064813429.

Adding to 20236272 its reverse (27263202), we get a palindrome (47499474).

The spelling of 20236272 in words is "twenty million, two hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 263 336 458 526 687 789 916 1052 1374 1578 1603 1832 1841 2104 2748 3156 3206 3664 3682 4208 4809 5496 5523 6312 6412 7364 9618 10992 11046 12624 12824 14728 19236 22092 25648 29456 38472 44184 60227 76944 88368 120454 180681 240908 361362 421589 481816 722724 843178 963632 1264767 1445448 1686356 2529534 2890896 3372712 5059068 6745424 10118136 20236272