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87660928 = 27798669
BaseRepresentation
bin1010011100110…
…01100110000000
320002221122012001
411032121212000
5134420122203
612410513344
72113051135
oct516314600
9202848161
1087660928
1145533a53
1225435854
1315213394
14b8dc58c
157a6891d
hex5399980

87660928 has 32 divisors (see below), whose sum is σ = 176868000. Its totient is φ = 43270656.

The previous prime is 87660917. The next prime is 87660929. The reversal of 87660928 is 82906678.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87660929) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5778 + ... + 14446.

It is an arithmetic number, because the mean of its divisors is an integer number (5527125).

Almost surely, 287660928 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 87660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88434000).

87660928 is an abundant number, since it is smaller than the sum of its proper divisors (89207072).

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

87660928 is an equidigital number, since it uses as much as digits as its factorization.

87660928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8762 (or 8750 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 87660928 is about 9362.7414788618. The cubic root of 87660928 is about 444.2240029769.

It can be divided in two parts, 87660 and 928, that added together give a palindrome (88588).

The spelling of 87660928 in words is "eighty-seven million, six hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 8669 10112 17338 34676 69352 138704 277408 554816 684851 1109632 1369702 2739404 5478808 10957616 21915232 43830464 87660928