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87487120 = 2457156227
BaseRepresentation
bin1010011011011…
…11001010010000
320002121210202201
411031233022100
5134344041440
612403052544
72111425330
oct515571220
9202553681
1087487120
1145425406
1225371154
1315182236
14b8950c0
157a3219a
hex536f290

87487120 has 40 divisors (see below), whose sum is σ = 232467264. Its totient is φ = 29995392.

The previous prime is 87487111. The next prime is 87487121. The reversal of 87487120 is 2178478.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87487120.

It is not an unprimeable number, because it can be changed into a prime (87487121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77554 + ... + 78673.

Almost surely, 287487120 is an apocalyptic number.

87487120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87487120 is an abundant number, since it is smaller than the sum of its proper divisors (144980144).

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

87487120 is a wasteful number, since it uses less digits than its factorization.

87487120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156247 (or 156241 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 87487120 is about 9353.4549766383. The cubic root of 87487120 is about 443.9302165575.

The spelling of 87487120 in words is "eighty-seven million, four hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 156227 312454 624908 781135 1093589 1249816 1562270 2187178 2499632 3124540 4374356 5467945 6249080 8748712 10935890 12498160 17497424 21871780 43743560 87487120