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20324772 = 223213137317
BaseRepresentation
bin100110110001…
…0000110100100
31102020121100100
41031202012210
520200343042
62003344100
7334520616
oct115420644
942217310
1020324772
1110522336
126982030
1342981c0
1429b0db6
151bb724c
hex13621a4

20324772 has 72 divisors (see below), whose sum is σ = 55908216. Its totient is φ = 6188544.

The previous prime is 20324771. The next prime is 20324789. The reversal of 20324772 is 27742302.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 20304036 = 144^2 + 4506^2 .

It is not an unprimeable number, because it can be changed into a prime (20324771) 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, 63958 + ... + 64274.

It is an arithmetic number, because the mean of its divisors is an integer number (776503).

Almost surely, 220324772 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 20324772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27954108).

20324772 is an abundant number, since it is smaller than the sum of its proper divisors (35583444).

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

20324772 is a wasteful number, since it uses less digits than its factorization.

20324772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20324772 is about 4508.3003449194. The cubic root of 20324772 is about 272.9031576969.

The spelling of 20324772 in words is "twenty million, three hundred twenty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 234 274 317 411 468 548 634 822 951 1233 1268 1644 1781 1902 2466 2853 3562 3804 4121 4932 5343 5706 7124 8242 10686 11412 12363 16029 16484 21372 24726 32058 37089 43429 49452 64116 74178 86858 130287 148356 173716 260574 390861 521148 564577 781722 1129154 1563444 1693731 2258308 3387462 5081193 6774924 10162386 20324772