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87384 = 23311331
BaseRepresentation
bin10101010101011000
311102212110
4111111120
510244014
61512320
7512523
oct252530
9142773
1087384
115a720
12426a0
1330a0b
1423bba
151ad59
hex15558

87384 has 32 divisors (see below), whose sum is σ = 239040. Its totient is φ = 26400.

The previous prime is 87383. The next prime is 87403. The reversal of 87384 is 48378.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87384.

It is not an unprimeable number, because it can be changed into a prime (87383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (7470).

287384 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 87384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119520).

87384 is an abundant number, since it is smaller than the sum of its proper divisors (151656).

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

87384 is a wasteful number, since it uses less digits than its factorization.

87384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 87384 is about 295.6078483397. The cubic root of 87384 is about 44.3755729609.

The spelling of 87384 in words is "eighty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 331 662 993 1324 1986 2648 3641 3972 7282 7944 10923 14564 21846 29128 43692 87384