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43680 = 2535713
BaseRepresentation
bin1010101010100000
32012220210
422222200
52344210
6534120
7241230
oct125240
965823
1043680
112a8aa
1221340
1316b60
1411cc0
15ce20
hexaaa0

43680 has 96 divisors (see below), whose sum is σ = 169344. Its totient is φ = 9216.

The previous prime is 43669. The next prime is 43691. The reversal of 43680 is 8634.

43680 divided by its sum of digits (21) gives a triangular number (2080 = T64).

43680 = T1 + T2 + ... + T63.

43680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2092-1.

43680 is a nontrivial binomial coefficient, being equal to C(65, 3).

It is an interprime number because it is at equal distance from previous prime (43669) and next prime (43691).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

43680 is strictly pandigital in base 6.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is the 63-rd tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3354 + ... + 3366.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

243680 is an apocalyptic number.

43680 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 43680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

43680 is an abundant number, since it is smaller than the sum of its proper divisors (125664).

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

43680 is a wasteful number, since it uses less digits than its factorization.

With its successor (43681) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (30).

43680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 43680 is about 208.9976076418. The cubic root of 43680 is about 35.2176908320.

The spelling of 43680 in words is "forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 65 70 78 80 84 91 96 104 105 112 120 130 140 156 160 168 182 195 208 210 224 240 260 273 280 312 336 364 390 416 420 455 480 520 546 560 624 672 728 780 840 910 1040 1092 1120 1248 1365 1456 1560 1680 1820 2080 2184 2730 2912 3120 3360 3640 4368 5460 6240 7280 8736 10920 14560 21840 43680