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81706560 = 2635136547
BaseRepresentation
bin1001101111010…
…11111001000000
312200202010022220
410313223321000
5131404102220
612035131040
72011331355
oct467537100
9180663286
1081706560
1142137391
1223443a80
1313c0a0a0
14abcc62c
15728e540
hex4debe40

81706560 has 112 divisors (see below), whose sum is σ = 279416256. Its totient is φ = 20109312.

The previous prime is 81706523. The next prime is 81706561. The reversal of 81706560 is 6560718.

It is not an unprimeable number, because it can be changed into a prime (81706561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9207 + ... + 15753.

It is an arithmetic number, because the mean of its divisors is an integer number (2494788).

Almost surely, 281706560 is an apocalyptic number.

81706560 is a gapful number since it is divisible by the number (80) 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 81706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708128).

81706560 is an abundant number, since it is smaller than the sum of its proper divisors (197709696).

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

81706560 is a wasteful number, since it uses less digits than its factorization.

81706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 81706560 is about 9039.1681033157. The cubic root of 81706560 is about 433.9292996458.

The spelling of 81706560 in words is "eighty-one million, seven hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 6547 12480 13094 19641 26188 32735 39282 52376 65470 78564 85111 98205 104752 130940 157128 170222 196410 209504 255333 261880 314256 340444 392820 419008 425555 510666 523760 628512 680888 785640 851110 1021332 1047520 1257024 1276665 1361776 1571280 1702220 2042664 2095040 2553330 2723552 3142560 3404440 4085328 5106660 5447104 6285120 6808880 8170656 10213320 13617760 16341312 20426640 27235520 40853280 81706560