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43468920 = 23335113659
BaseRepresentation
bin1010010111010…
…0100001111000
310000210110011000
42211310201320
542112001140
64151405000
71035323355
oct245644170
9100713130
1043468920
112259a930
1212683760
13900c771
145ab762c
153c39a30
hex2974878

43468920 has 128 divisors (see below), whose sum is σ = 158112000. Its totient is φ = 10535040.

The previous prime is 43468891. The next prime is 43468921. The reversal of 43468920 is 2986434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43468921) 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, 10051 + ... + 13709.

It is an arithmetic number, because the mean of its divisors is an integer number (1235250).

Almost surely, 243468920 is an apocalyptic number.

43468920 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 43468920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79056000).

43468920 is an abundant number, since it is smaller than the sum of its proper divisors (114643080).

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

43468920 is a wasteful number, since it uses less digits than its factorization.

43468920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 43468920 is about 6593.0963894061. The cubic root of 43468920 is about 351.6087034386.

The spelling of 43468920 in words is "forty-three million, four hundred sixty-eight thousand, nine 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 3659 3960 5940 7318 10977 11880 14636 18295 21954 29272 32931 36590 40249 43908 54885 65862 73180 80498 87816 98793 109770 120747 131724 146360 160996 164655 197586 201245 219540 241494 263448 321992 329310 362241 395172 402490 439080 482988 493965 603735 658620 724482 790344 804980 965976 987930 1086723 1207470 1317240 1448964 1609960 1811205 1975860 2173446 2414940 2897928 3622410 3951720 4346892 4829880 5433615 7244820 8693784 10867230 14489640 21734460 43468920