Search a number
-
+
20711232 = 263241877
BaseRepresentation
bin100111100000…
…0011101000000
31102222020110200
41033000131000
520300224412
62015525200
7341020413
oct117003500
942866420
1020711232
1110766723
126b29800
1343a2089
142a71b7a
151c419dc
hex13c0740

20711232 has 84 divisors (see below), whose sum is σ = 60882276. Its totient is φ = 6727680.

The previous prime is 20711227. The next prime is 20711233. The reversal of 20711232 is 23211702.

It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 12278016 = 2904^2 + 3504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20711233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23178 + ... + 24054.

It is an arithmetic number, because the mean of its divisors is an integer number (724789).

Almost surely, 220711232 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 20711232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30441138).

20711232 is an abundant number, since it is smaller than the sum of its proper divisors (40171044).

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

20711232 is a wasteful number, since it uses less digits than its factorization.

20711232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20711232 is about 4550.9594592789. The cubic root of 20711232 is about 274.6219908275.

Adding to 20711232 its reverse (23211702), we get a palindrome (43922934).

The spelling of 20711232 in words is "twenty million, seven hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 877 984 1312 1476 1754 1968 2624 2631 2952 3508 3936 5262 5904 7016 7872 7893 10524 11808 14032 15786 21048 23616 28064 31572 35957 42096 56128 63144 71914 84192 107871 126288 143828 168384 215742 252576 287656 323613 431484 505152 575312 647226 862968 1150624 1294452 1725936 2301248 2588904 3451872 5177808 6903744 10355616 20711232