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20533392 = 24331129149
BaseRepresentation
bin100111001010…
…1000010010000
31102122012112000
41032111002100
520224032032
62012034000
7336350055
oct116250220
942565460
1020533392
1110655050
126a62900
13433c149
142a2702c
151c08e7c
hex1395090

20533392 has 160 divisors (see below), whose sum is σ = 66960000. Its totient is φ = 5967360.

The previous prime is 20533391. The next prime is 20533427. The reversal of 20533392 is 29333502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20533391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137734 + ... + 137882.

It is an arithmetic number, because the mean of its divisors is an integer number (418500).

Almost surely, 220533392 is an apocalyptic number.

20533392 is a gapful number since it is divisible by the number (22) 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 20533392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480000).

20533392 is an abundant number, since it is smaller than the sum of its proper divisors (46426608).

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

20533392 is a wasteful number, since it uses less digits than its factorization.

20533392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 20533392 is about 4531.3785981752. The cubic root of 20533392 is about 273.8337030585.

Adding to 20533392 its reverse (29333502), we get a palindrome (49866894).

It can be divided in two parts, 2053 and 3392, that added together give a palindrome (5445).

The spelling of 20533392 in words is "twenty million, five hundred thirty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 149 174 176 198 216 232 261 264 297 298 319 348 396 432 447 464 522 528 594 596 638 696 783 792 894 957 1044 1188 1192 1276 1341 1392 1566 1584 1639 1788 1914 2088 2376 2384 2552 2682 2871 3132 3278 3576 3828 4023 4176 4321 4752 4917 5104 5364 5742 6264 6556 7152 7656 8046 8613 8642 9834 10728 11484 12528 12963 13112 14751 15312 16092 17226 17284 19668 21456 22968 25926 26224 29502 32184 34452 34568 38889 39336 44253 45936 47531 51852 59004 64368 68904 69136 77778 78672 88506 95062 103704 116667 118008 137808 142593 155556 177012 190124 207408 233334 236016 285186 311112 354024 380248 427779 466668 570372 622224 708048 760496 855558 933336 1140744 1283337 1711116 1866672 2281488 2566674 3422232 5133348 6844464 10266696 20533392