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20384112 = 24371931103
BaseRepresentation
bin100110111000…
…0100101110000
31102100121202010
41031300211300
520204242422
62004522520
7335155620
oct115604560
942317663
1020384112
1110562981
1269b0440
1342b9208
1429c8880
151bc9b0c
hex1370970

20384112 has 160 divisors (see below), whose sum is σ = 66027520. Its totient is φ = 5287680.

The previous prime is 20384101. The next prime is 20384113. The reversal of 20384112 is 21148302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20384113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197853 + ... + 197955.

It is an arithmetic number, because the mean of its divisors is an integer number (412672).

Almost surely, 220384112 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 20384112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33013760).

20384112 is an abundant number, since it is smaller than the sum of its proper divisors (45643408).

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

20384112 is a wasteful number, since it uses less digits than its factorization.

20384112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20384112 is about 4514.8767425036. The cubic root of 20384112 is about 273.1684880841.

The spelling of 20384112 in words is "twenty million, three hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 103 112 114 124 133 152 168 186 206 217 228 248 266 304 309 336 372 399 412 434 456 496 532 589 618 651 721 744 798 824 868 912 1064 1178 1236 1302 1442 1488 1596 1648 1736 1767 1957 2128 2163 2356 2472 2604 2884 3192 3193 3472 3534 3914 4123 4326 4712 4944 5208 5768 5871 6384 6386 7068 7828 8246 8652 9424 9579 10416 11536 11742 12369 12772 13699 14136 15656 16492 17304 19158 22351 23484 24738 25544 27398 28272 31312 32984 34608 38316 41097 44702 46968 49476 51088 54796 60667 65968 67053 76632 82194 89404 93936 98952 109592 121334 134106 153264 164388 178808 182001 197904 219184 242668 268212 328776 357616 364002 424669 485336 536424 657552 728004 849338 970672 1072848 1274007 1456008 1698676 2548014 2912016 3397352 5096028 6794704 10192056 20384112