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42043320 = 23335113539
BaseRepresentation
bin1010000001100…
…0011110111000
32221010000121000
42200120132320
541230341240
64101045000
71020235164
oct240303670
987100530
1042043320
1121806850
12120b6760
138930907
145825ca4
153a57430
hex28187b8

42043320 has 128 divisors (see below), whose sum is σ = 152928000. Its totient is φ = 10189440.

The previous prime is 42043319. The next prime is 42043321. The reversal of 42043320 is 2334024.

It is an interprime number because it is at equal distance from previous prime (42043319) and next prime (42043321).

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 = 42043293 and 42043302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42043321) 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, 10111 + ... + 13649.

It is an arithmetic number, because the mean of its divisors is an integer number (1194750).

Almost surely, 242043320 is an apocalyptic number.

42043320 is a gapful number since it is divisible by the number (40) 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 42043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76464000).

42043320 is an abundant number, since it is smaller than the sum of its proper divisors (110884680).

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

42043320 is a wasteful number, since it uses less digits than its factorization.

42043320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3560 counting only the distinct ones).

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

The square root of 42043320 is about 6484.0820475993. The cubic root of 42043320 is about 347.7221325304.

Adding to 42043320 its reverse (2334024), we get a palindrome (44377344).

The spelling of 42043320 in words is "forty-two million, forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3539 3960 5940 7078 10617 11880 14156 17695 21234 28312 31851 35390 38929 42468 53085 63702 70780 77858 84936 95553 106170 116787 127404 141560 155716 159255 191106 194645 212340 233574 254808 311432 318510 350361 382212 389290 424680 467148 477765 583935 637020 700722 764424 778580 934296 955530 1051083 1167870 1274040 1401444 1557160 1751805 1911060 2102166 2335740 2802888 3503610 3822120 4204332 4671480 5255415 7007220 8408664 10510830 14014440 21021660 42043320