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20180384 = 257233917
BaseRepresentation
bin100110011111…
…0110110100000
31101222021021122
41030332312200
520131233014
62000311412
7333346640
oct114766640
941867248
1020180384
1110433904
126912568
134247573
142974520
151b8958e
hex133eda0

20180384 has 48 divisors (see below), whose sum is σ = 47392128. Its totient is φ = 8270592.

The previous prime is 20180359. The next prime is 20180387. The reversal of 20180384 is 48308102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20180387) 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 7 ways as a sum of consecutive naturals, for example, 3194 + ... + 7110.

It is an arithmetic number, because the mean of its divisors is an integer number (987336).

Almost surely, 220180384 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 20180384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696064).

20180384 is an abundant number, since it is smaller than the sum of its proper divisors (27211744).

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

20180384 is a wasteful number, since it uses less digits than its factorization.

20180384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 20180384 is about 4492.2582294432. The cubic root of 20180384 is about 272.2553829812.

Adding to 20180384 its reverse (48308102), we get a palindrome (68488486).

The spelling of 20180384 in words is "twenty million, one hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 3917 5152 7834 15668 27419 31336 54838 62672 90091 109676 125344 180182 219352 360364 438704 630637 720728 877408 1261274 1441456 2522548 2882912 5045096 10090192 20180384