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87298680 = 233571031009
BaseRepresentation
bin1010011010000…
…01001001111000
320002021020021110
411031001021320
5134322024210
612355040320
72110012050
oct515011170
9202236243
1087298680
1145306877
12252a00a0
1315117531
14b846560
1579e6420
hex5341278

87298680 has 128 divisors (see below), whose sum is σ = 302515200. Its totient is φ = 19740672.

The previous prime is 87298669. The next prime is 87298691. The reversal of 87298680 is 8689278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87298669) and next prime (87298691).

It is a congruent number.

It is an unprimeable number.

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, 86016 + ... + 87024.

It is an arithmetic number, because the mean of its divisors is an integer number (2363400).

Almost surely, 287298680 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 87298680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151257600).

87298680 is an abundant number, since it is smaller than the sum of its proper divisors (215216520).

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

87298680 is a wasteful number, since it uses less digits than its factorization.

87298680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 87298680 is about 9343.3762634285. The cubic root of 87298680 is about 443.6112578225.

It can be divided in two parts, 87298 and 680, that added together give a palindrome (87978).

The spelling of 87298680 in words is "eighty-seven million, two hundred ninety-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 280 309 412 420 515 618 721 824 840 1009 1030 1236 1442 1545 2018 2060 2163 2472 2884 3027 3090 3605 4036 4120 4326 5045 5768 6054 6180 7063 7210 8072 8652 10090 10815 12108 12360 14126 14420 15135 17304 20180 21189 21630 24216 28252 28840 30270 35315 40360 42378 43260 56504 60540 70630 84756 86520 103927 105945 121080 141260 169512 207854 211890 282520 311781 415708 423780 519635 623562 727489 831416 847560 1039270 1247124 1454978 1558905 2078540 2182467 2494248 2909956 3117810 3637445 4157080 4364934 5819912 6235620 7274890 8729868 10912335 12471240 14549780 17459736 21824670 29099560 43649340 87298680