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81960732 = 22327297479
BaseRepresentation
bin1001110001010…
…01111100011100
312201020000222200
410320221330130
5131440220412
612044411500
72013440400
oct470517434
9181200880
1081960732
11422a0347
1223546b90
1313c98999
14ac57100
1572de9dc
hex4e29f1c

81960732 has 108 divisors (see below), whose sum is σ = 243996480. Its totient is φ = 23127552.

The previous prime is 81960727. The next prime is 81960733. The reversal of 81960732 is 23706918.

81960732 is a `hidden beast` number, since 8 + 19 + 607 + 32 = 666.

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 (81960733) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170869 + ... + 171347.

Almost surely, 281960732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81960732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121998240).

81960732 is an abundant number, since it is smaller than the sum of its proper divisors (162035748).

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

81960732 is a wasteful number, since it uses less digits than its factorization.

81960732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 81960732 is about 9053.2166659149. The cubic root of 81960732 is about 434.3787882767.

The spelling of 81960732 in words is "eighty-one million, nine hundred sixty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 97 98 126 147 194 196 252 291 294 388 441 479 582 588 679 873 882 958 1164 1358 1437 1746 1764 1916 2037 2716 2874 3353 3492 4074 4311 4753 5748 6111 6706 8148 8622 9506 10059 12222 13412 14259 17244 19012 20118 23471 24444 28518 30177 40236 42777 46463 46942 57036 60354 70413 85554 92926 93884 120708 139389 140826 171108 185852 211239 278778 281652 325241 418167 422478 557556 650482 836334 844956 975723 1300964 1672668 1951446 2276687 2927169 3902892 4553374 5854338 6830061 9106748 11708676 13660122 20490183 27320244 40980366 81960732