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87660540 = 223251144273
BaseRepresentation
bin1010011100110…
…01011111111100
320002221121122200
411032121133330
5134420114130
612410511500
72113050042
oct516313774
9202847580
1087660540
1145533730
1225435590
1315213156
14b8dc392
157a68760
hex53997fc

87660540 has 72 divisors (see below), whose sum is σ = 290083248. Its totient is φ = 21250560.

The previous prime is 87660527. The next prime is 87660563. The reversal of 87660540 is 4506678.

It is a happy number.

87660540 is a `hidden beast` number, since 8 + 7 + 6 + 605 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 87660495 and 87660504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20157 + ... + 24116.

It is an arithmetic number, because the mean of its divisors is an integer number (4028934).

Almost surely, 287660540 is an apocalyptic number.

It is an amenable number.

87660540 is an abundant number, since it is smaller than the sum of its proper divisors (202422708).

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

87660540 is a wasteful number, since it uses less digits than its factorization.

87660540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44299 (or 44294 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87660540 is about 9362.7207584121. The cubic root of 87660540 is about 444.2233475759.

It can be divided in two parts, 876 and 60540, that added together give a palindrome (61416).

The spelling of 87660540 in words is "eighty-seven million, six hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 44273 88546 132819 177092 221365 265638 398457 442730 487003 531276 664095 796914 885460 974006 1328190 1461009 1593828 1948012 1992285 2435015 2656380 2922018 3984570 4383027 4870030 5844036 7305045 7969140 8766054 9740060 14610090 17532108 21915135 29220180 43830270 87660540