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87660096 = 2631632801
BaseRepresentation
bin1010011100110…
…01011001000000
320002221121001020
411032121121000
5134420110341
612410505440
72113045536
oct516313100
9202847036
1087660096
1145533367
1225435280
1315212ba4
14b8dc156
157a68566
hex5399640

87660096 has 56 divisors (see below), whose sum is σ = 233440224. Its totient is φ = 29030400.

The previous prime is 87660077. The next prime is 87660113. The reversal of 87660096 is 69006678.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 29896 + ... + 32696.

Almost surely, 287660096 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 87660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116720112).

87660096 is an abundant number, since it is smaller than the sum of its proper divisors (145780128).

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

87660096 is a wasteful number, since it uses less digits than its factorization.

87660096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 87660096 is about 9362.6970473256. The cubic root of 87660096 is about 444.2225975786. Note that the first 3 decimals are identical.

The spelling of 87660096 in words is "eighty-seven million, six hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 978 1304 1956 2608 2801 3912 5216 5602 7824 8403 10432 11204 15648 16806 22408 31296 33612 44816 67224 89632 134448 179264 268896 456563 537792 913126 1369689 1826252 2739378 3652504 5478756 7305008 10957512 14610016 21915024 29220032 43830048 87660096