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20443320 = 2333523823
BaseRepresentation
bin100110111111…
…1000010111000
31102110121222000
41031333002320
520213141240
62010101000
7335523342
oct115770270
942417860
1020443320
11105a3407
126a1a760
13430a151
142a02292
151bdc430
hex137f0b8

20443320 has 128 divisors (see below), whose sum is σ = 71193600. Its totient is φ = 5208192.

The previous prime is 20443301. The next prime is 20443331. The reversal of 20443320 is 2334402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20443293 and 20443302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24429 + ... + 25251.

It is an arithmetic number, because the mean of its divisors is an integer number (556200).

Almost surely, 220443320 is an apocalyptic number.

20443320 is a gapful number since it is divisible by the number (20) 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 20443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35596800).

20443320 is an abundant number, since it is smaller than the sum of its proper divisors (50750280).

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

20443320 is a wasteful number, since it uses less digits than its factorization.

20443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20443320 is about 4521.4289776574. The cubic root of 20443320 is about 273.4327155299.

Adding to 20443320 its reverse (2334402), we get a palindrome (22777722).

The spelling of 20443320 in words is "twenty million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 823 828 920 1035 1080 1242 1380 1646 1656 2070 2469 2484 2760 3105 3292 4115 4140 4938 4968 6210 6584 7407 8230 8280 9876 12345 12420 14814 16460 18929 19752 22221 24690 24840 29628 32920 37035 37858 44442 49380 56787 59256 74070 75716 88884 94645 98760 111105 113574 148140 151432 170361 177768 189290 222210 227148 283935 296280 340722 378580 444420 454296 511083 567870 681444 757160 851805 888840 1022166 1135740 1362888 1703610 2044332 2271480 2555415 3407220 4088664 5110830 6814440 10221660 20443320