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87680 = 275137
BaseRepresentation
bin10101011010000000
311110021102
4111122000
510301210
61513532
7513425
oct253200
9143242
1087680
115a96a
12428a8
1330ba8
1423d4c
151aea5
hex15680

87680 has 32 divisors (see below), whose sum is σ = 211140. Its totient is φ = 34816.

The previous prime is 87679. The next prime is 87683. The reversal of 87680 is 8678.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 64 = 296^2 + 8^2 .

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (87683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 572 + ... + 708.

287680 is an apocalyptic number.

87680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105570).

87680 is an abundant number, since it is smaller than the sum of its proper divisors (123460).

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

87680 is a wasteful number, since it uses less digits than its factorization.

87680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 87680 is about 296.1080883731. The cubic root of 87680 is about 44.4256216591.

It can be divided in two parts, 87 and 680, that added together give a palindrome (767).

The spelling of 87680 in words is "eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 274 320 548 640 685 1096 1370 2192 2740 4384 5480 8768 10960 17536 21920 43840 87680