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20234784 = 2531311609
BaseRepresentation
bin100110100110…
…0001000100000
31102002000220110
41031030020200
520140003114
62001411320
7333664353
oct115141040
942060813
1020234784
1110470769
126939b40
13426625b
14298a29a
151b9a759
hex134c220

20234784 has 48 divisors (see below), whose sum is σ = 53555040. Its totient is φ = 6689280.

The previous prime is 20234759. The next prime is 20234801. The reversal of 20234784 is 48743202.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11772 + ... + 13380.

It is an arithmetic number, because the mean of its divisors is an integer number (1115730).

Almost surely, 220234784 is an apocalyptic number.

20234784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20234784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26777520).

20234784 is an abundant number, since it is smaller than the sum of its proper divisors (33320256).

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

20234784 is a wasteful number, since it uses less digits than its factorization.

20234784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 20234784 is about 4498.3090156191. The cubic root of 20234784 is about 272.4998019245.

Adding to 20234784 its reverse (48743202), we get a palindrome (68977986).

The spelling of 20234784 in words is "twenty million, two hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 1609 2096 3144 3218 4192 4827 6288 6436 9654 12576 12872 19308 25744 38616 51488 77232 154464 210779 421558 632337 843116 1264674 1686232 2529348 3372464 5058696 6744928 10117392 20234784